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664798197960 = 23345131931127211
BaseRepresentation
bin10011010110010010000…
…11110111100011001000
32100112221221002120110000
421223021003313203020
541343001314313320
61225223140323000
766013214306031
oct11531103674310
92315857076400
10664798197960
11236a37284816
12a8a136a3460
134a8c84aa990
14242680a7a88
151245d963c90
hex9ac90f78c8

664798197960 has 1280 divisors, whose sum is σ = 2647778918400. Its totient is φ = 148142131200.

The previous prime is 664798197907. The next prime is 664798197989. The reversal of 664798197960 is 69791897466.

664798197960 is a `hidden beast` number, since 6 + 6 + 479 + 8 + 1 + 97 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3150702255 + ... + 3150702465.

It is an arithmetic number, because the mean of its divisors is an integer number (2068577280).

Almost surely, 2664798197960 is an apocalyptic number.

664798197960 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 664798197960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323889459200).

664798197960 is an abundant number, since it is smaller than the sum of its proper divisors (1982980720440).

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

664798197960 is a wasteful number, since it uses less digits than its factorization.

664798197960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 664798197960 in words is "six hundred sixty-four billion, seven hundred ninety-eight million, one hundred ninety-seven thousand, nine hundred sixty".