641625600 has 720 divisors, whose sum is σ = 2776536576. Its totient is φ = 129024000.

The previous prime is 641625599. The next prime is 641625613. The reversal of 641625600 is 6526146.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20697585 + ... + 20697615.

Almost surely, 2^641625600 is an apocalyptic number.

641625600 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 641625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388268288).

641625600 is an abundant number, since it is smaller than the sum of its proper divisors (2134910976).

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

641625600 is a wasteful number, since it uses less digits than its factorization.

641625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 641625600 is about 25330.3296464930. The cubic root of 641625600 is about 862.5028943402.

The spelling of 641625600 in words is "six hundred forty-one million, six hundred twenty-five thousand, six hundred".