625003506960 has 320 divisors, whose sum is σ = 2312886251520. Its totient is φ = 136509880320.

The previous prime is 625003506877. The next prime is 625003506971. The reversal of 625003506960 is 69605300526.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41298595 + ... + 41313725.

It is an arithmetic number, because the mean of its divisors is an integer number (7227769536).

Almost surely, 2^625003506960 is an apocalyptic number.

625003506960 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 625003506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156443125760).

625003506960 is an abundant number, since it is smaller than the sum of its proper divisors (1687882744560).

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

625003506960 is a wasteful number, since it uses less digits than its factorization.

625003506960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16240 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 625003506960 in words is "six hundred twenty-five billion, three million, five hundred six thousand, nine hundred sixty".