625968000 has 768 divisors, whose sum is σ = 2780144640. Its totient is φ = 136857600.

The previous prime is 625967963. The next prime is 625968019. The reversal of 625968000 is 869526.

625968000 is a `hidden beast` number, since 62 + 596 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27215989 + ... + 27216011.

It is an arithmetic number, because the mean of its divisors is an integer number (3619980).

Almost surely, 2^625968000 is an apocalyptic number.

625968000 is a gapful number since it is divisible by the number (60) 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 625968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390072320).

625968000 is an abundant number, since it is smaller than the sum of its proper divisors (2154176640).

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

625968000 is an equidigital number, since it uses as much as digits as its factorization.

625968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 625968000 is about 25019.3525096074. The cubic root of 625968000 is about 855.4291474442.

The spelling of 625968000 in words is "six hundred twenty-five million, nine hundred sixty-eight thousand".