625768416 has 360 divisors, whose sum is σ = 2311598520. Its totient is φ = 164602368.

The previous prime is 625768399. The next prime is 625768433. The reversal of 625768416 is 614867526.

625768416 is a `hidden beast` number, since 62 + 576 + 8 + 4 + 16 = 666.

625768416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (625768399) and next prime (625768433).

It is a super-2 number, since 2×625768416² = 783172220926298112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1650915 + ... + 1651293.

It is an arithmetic number, because the mean of its divisors is an integer number (6421107).

Almost surely, 2^625768416 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 625768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155799260).

625768416 is an abundant number, since it is smaller than the sum of its proper divisors (1685830104).

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

625768416 is a wasteful number, since it uses less digits than its factorization.

625768416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 625768416 is about 25015.3635991964. The cubic root of 625768416 is about 855.3382226049.

The spelling of 625768416 in words is "six hundred twenty-five million, seven hundred sixty-eight thousand, four hundred sixteen".