625531486320 has 960 divisors, whose sum is σ = 2402246246400. Its totient is φ = 144833495040.

The previous prime is 625531486301. The next prime is 625531486339. The reversal of 625531486320 is 23684135526.

625531486320 is a `hidden beast` number, since 6 + 2 + 5 + 5 + 3 + 1 + 4 + 8 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (625531486301) and next prime (625531486339).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 1424900661 + ... + 1424901099.

It is an arithmetic number, because the mean of its divisors is an integer number (2502339840).

Almost surely, 2^625531486320 is an apocalyptic number.

625531486320 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 625531486320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201123123200).

625531486320 is an abundant number, since it is smaller than the sum of its proper divisors (1776714760080).

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

625531486320 is a wasteful number, since it uses less digits than its factorization.

625531486320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 625531486320 in words is "six hundred twenty-five billion, five hundred thirty-one million, four hundred eighty-six thousand, three hundred twenty".