625563866304 has 336 divisors, whose sum is σ = 2035243173600. Its totient is φ = 182115827712.

The previous prime is 625563866297. The next prime is 625563866309. The reversal of 625563866304 is 403668365526.

625563866304 is a `hidden beast` number, since 6 + 2 + 556 + 3 + 86 + 6 + 3 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (625563866309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132168322 + ... + 132173054.

It is an arithmetic number, because the mean of its divisors is an integer number (6057271350).

Almost surely, 2^625563866304 is an apocalyptic number.

625563866304 is a gapful number since it is divisible by the number (64) 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 625563866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017621586800).

625563866304 is an abundant number, since it is smaller than the sum of its proper divisors (1409679307296).

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

625563866304 is a wasteful number, since it uses less digits than its factorization.

625563866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 625563866304 in words is "six hundred twenty-five billion, five hundred sixty-three million, eight hundred sixty-six thousand, three hundred four".