625327865400 has 384 divisors, whose sum is σ = 2291281920000. Its totient is φ = 138116759040.

The previous prime is 625327865381. The next prime is 625327865401. The reversal of 625327865400 is 4568723526.

625327865400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 625327865400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625327865401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15574551 + ... + 15614649.

It is an arithmetic number, because the mean of its divisors is an integer number (5966880000).

Almost surely, 2^625327865400 is an apocalyptic number.

625327865400 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 625327865400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145640960000).

625327865400 is an abundant number, since it is smaller than the sum of its proper divisors (1665954054600).

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

625327865400 is a wasteful number, since it uses less digits than its factorization.

625327865400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40251 (or 40242 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 625327865400 in words is "six hundred twenty-five billion, three hundred twenty-seven million, eight hundred sixty-five thousand, four hundred".