641207072856 has 256 divisors, whose sum is σ = 1938163138560. Its totient is φ = 172941350400.

The previous prime is 641207072827. The next prime is 641207072867. The reversal of 641207072856 is 658270702146.

641207072856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641207072856² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40352545 + ... + 40368431.

It is an arithmetic number, because the mean of its divisors is an integer number (7570949760).

Almost surely, 2^641207072856 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 641207072856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969081569280).

641207072856 is an abundant number, since it is smaller than the sum of its proper divisors (1296956065704).

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

641207072856 is a wasteful number, since it uses less digits than its factorization.

641207072856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16134 (or 16130 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 641207072856 in words is "six hundred forty-one billion, two hundred seven million, seventy-two thousand, eight hundred fifty-six".