625090401936 has 800 divisors, whose sum is σ = 2445979447296. Its totient is φ = 148832640000.

The previous prime is 625090401917. The next prime is 625090401959. The reversal of 625090401936 is 639104090526.

625090401936 is a `hidden beast` number, since 62 + 509 + 0 + 40 + 19 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 625090401891 and 625090401900.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 195890101 + ... + 195893291.

Almost surely, 2^625090401936 is an apocalyptic number.

625090401936 is a gapful number since it is divisible by the number (66) 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 625090401936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222989723648).

625090401936 is an abundant number, since it is smaller than the sum of its proper divisors (1820889045360).

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

625090401936 is a wasteful number, since it uses less digits than its factorization.

625090401936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 625090401936 in words is "six hundred twenty-five billion, ninety million, four hundred one thousand, nine hundred thirty-six".