641956800 has 168 divisors, whose sum is σ = 2217318400. Its totient is φ = 162155520.

The previous prime is 641956759. The next prime is 641956801. The reversal of 641956800 is 8659146.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641956801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87681 + ... + 94719.

Almost surely, 2^641956800 is an apocalyptic number.

641956800 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 641956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108659200).

641956800 is an abundant number, since it is smaller than the sum of its proper divisors (1575361600).

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

641956800 is a wasteful number, since it uses less digits than its factorization.

641956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 641956800 is about 25336.8664202975. The cubic root of 641956800 is about 862.6512736136.

The spelling of 641956800 in words is "six hundred forty-one million, nine hundred fifty-six thousand, eight hundred".