625369520664 has 384 divisors, whose sum is σ = 2123225395200. Its totient is φ = 162721889280.

The previous prime is 625369520653. The next prime is 625369520687. The reversal of 625369520664 is 466025963526.

625369520664 is a `hidden beast` number, since 6 + 2 + 53 + 6 + 9 + 520 + 6 + 64 = 666.

It is a super-2 number, since 2×625369520664² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 625369520664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76756639 + ... + 76764785.

It is an arithmetic number, because the mean of its divisors is an integer number (5529232800).

Almost surely, 2^625369520664 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 625369520664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061612697600).

625369520664 is an abundant number, since it is smaller than the sum of its proper divisors (1497855874536).

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

625369520664 is a wasteful number, since it uses less digits than its factorization.

625369520664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 625369520664 in words is "six hundred twenty-five billion, three hundred sixty-nine million, five hundred twenty thousand, six hundred sixty-four".