641804256000 has 576 divisors, whose sum is σ = 2404183541760. Its totient is φ = 168578150400.

The previous prime is 641804255999. The next prime is 641804256031. The reversal of 641804256000 is 652408146.

641804256000 is a `hidden beast` number, since 6 + 4 + 1 + 8 + 0 + 42 + 5 + 600 + 0 = 666.

641804256000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 57882457 + ... + 57893543.

It is an arithmetic number, because the mean of its divisors is an integer number (4173929760).

Almost surely, 2^641804256000 is an apocalyptic number.

641804256000 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 641804256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202091770880).

641804256000 is an abundant number, since it is smaller than the sum of its proper divisors (1762379285760).

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

641804256000 is a wasteful number, since it uses less digits than its factorization.

641804256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11194 (or 11164 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 641804256000 in words is "six hundred forty-one billion, eight hundred four million, two hundred fifty-six thousand".