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6841074992640 = 293572192371361
BaseRepresentation
bin110001110001100111111…
…0110000100011000000000
3220020000000021112010001120
41203203033312010120000
51344041010144231030
622314425123032240
71304152133664300
oct143431766043000
926200007463046
106841074992640
1121a831353a059
12925a1a20b680
133a8158cc5035
141991773d1600
15bce43308010
hex638cfd84600

6841074992640 has 1440 divisors, whose sum is σ = 27596080996704. Its totient is φ = 1440279429120.

The previous prime is 6841074992639. The next prime is 6841074992641. The reversal of 6841074992640 is 462994701486.

It is an interprime number because it is at equal distance from previous prime (6841074992639) and next prime (6841074992641).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6841074992641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5026505560 + ... + 5026506920.

Almost surely, 26841074992640 is an apocalyptic number.

6841074992640 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 6841074992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798040498352).

6841074992640 is an abundant number, since it is smaller than the sum of its proper divisors (20755006004064).

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

6841074992640 is a wasteful number, since it uses less digits than its factorization.

6841074992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 6841074992640 in words is "six trillion, eight hundred forty-one billion, seventy-four million, nine hundred ninety-two thousand, six hundred forty".