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6677645441040 = 24335723712291181
BaseRepresentation
bin110000100101100001010…
…1011110011100000010000
3212122101011120222200201000
41201023002223303200100
51333401304213103130
622111400140342000
71256305164503340
oct141130253634020
925571146880630
106677645441040
112144a78847032
128ba209b44900
13395912386752
141912b221ad20
15b8a7a727260
hex612c2af3810

6677645441040 has 1280 divisors, whose sum is σ = 27960953241600. Its totient is φ = 1431895449600.

The previous prime is 6677645441011. The next prime is 6677645441053. The reversal of 6677645441040 is 401445467766.

6677645441040 is a `hidden beast` number, since 66 + 77 + 64 + 5 + 4 + 410 + 40 = 666.

It is a super-2 number, since 2×66776454410402 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5654229250 + ... + 5654230430.

It is an arithmetic number, because the mean of its divisors is an integer number (21844494720).

Almost surely, 26677645441040 is an apocalyptic number.

6677645441040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677645441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980476620800).

6677645441040 is an abundant number, since it is smaller than the sum of its proper divisors (21283307800560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6677645441040 is a wasteful number, since it uses less digits than its factorization.

6677645441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 6677645441040 in words is "six trillion, six hundred seventy-seven billion, six hundred forty-five million, four hundred forty-one thousand, forty".