641679524640 has 2304 divisors, whose sum is σ = 3090866688000. Its totient is φ = 121648988160.

The previous prime is 641679524539. The next prime is 641679524671. The reversal of 641679524640 is 46425976146.

641679524640 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 79 + 524 + 6 + 40 = 666.

It is a super-2 number, since 2×641679524640² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1649561566 + ... + 1649561954.

It is an arithmetic number, because the mean of its divisors is an integer number (1341522000).

Almost surely, 2^641679524640 is an apocalyptic number.

641679524640 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 641679524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545433344000).

641679524640 is an abundant number, since it is smaller than the sum of its proper divisors (2449187163360).

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

641679524640 is a wasteful number, since it uses less digits than its factorization.

641679524640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 641679524640 in words is "six hundred forty-one billion, six hundred seventy-nine million, five hundred twenty-four thousand, six hundred forty".