641290825728 has 702 divisors, whose sum is σ = 2242181863896. Its totient is φ = 182849716224.

The previous prime is 641290825709. The next prime is 641290825771. The reversal of 641290825728 is 827528092146.

641290825728 is a `hidden beast` number, since 6 + 41 + 29 + 0 + 8 + 2 + 572 + 8 = 666.

It is a super-2 number, since 2×641290825728² (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 a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 1316818701 + ... + 1316819187.

Almost surely, 2^641290825728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641290825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121090931948).

641290825728 is an abundant number, since it is smaller than the sum of its proper divisors (1600891038168).

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

641290825728 is an frugal number, since it uses more digits than its factorization.

641290825728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 641290825728 in words is "six hundred forty-one billion, two hundred ninety million, eight hundred twenty-five thousand, seven hundred twenty-eight".