624725640 has 384 divisors, whose sum is σ = 2616606720. Its totient is φ = 125452800.

The previous prime is 624725611. The next prime is 624725653. The reversal of 624725640 is 46527426.

624725640 is a `hidden beast` number, since 6 + 2 + 4 + 7 + 2 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 624725595 and 624725604.

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 95 ways as a sum of consecutive naturals, for example, 858957 + ... + 859683.

It is an arithmetic number, because the mean of its divisors is an integer number (6814080).

Almost surely, 2^624725640 is an apocalyptic number.

624725640 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 624725640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308303360).

624725640 is an abundant number, since it is smaller than the sum of its proper divisors (1991881080).

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

624725640 is a wasteful number, since it uses less digits than its factorization.

624725640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 624725640 is about 24994.5121976805. The cubic root of 624725640 is about 854.8628486275.

The spelling of 624725640 in words is "six hundred twenty-four million, seven hundred twenty-five thousand, six hundred forty".