625077772956 has 576 divisors, whose sum is σ = 2117567692800. Its totient is φ = 157853670912.

The previous prime is 625077772919. The next prime is 625077772993. The reversal of 625077772956 is 659277770526.

625077772956 is a `hidden beast` number, since 6 + 2 + 507 + 7 + 7 + 72 + 9 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (625077772919) and next prime (625077772993).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 625077772893 and 625077772902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 253374435 + ... + 253376901.

It is an arithmetic number, because the mean of its divisors is an integer number (3676332800).

Almost surely, 2^625077772956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625077772956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058783846400).

625077772956 is an abundant number, since it is smaller than the sum of its proper divisors (1492489919844).

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

625077772956 is a wasteful number, since it uses less digits than its factorization.

625077772956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 625077772956 in words is "six hundred twenty-five billion, seventy-seven million, seven hundred seventy-two thousand, nine hundred fifty-six".