625656775968 has 360 divisors, whose sum is σ = 2145721338684. Its totient is φ = 178319232000.

The previous prime is 625656775967. The next prime is 625656775969. The reversal of 625656775968 is 869577656526.

625656775968 is a `hidden beast` number, since 6 + 2 + 5 + 6 + 567 + 7 + 59 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (625656775967) and next prime (625656775969).

It can be written as a sum of positive squares in 2 ways, for example, as 598908827664 + 26747948304 = 773892^2 + 163548^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 625656775896 and 625656775905.

It is not an unprimeable number, because it can be changed into a prime (625656775967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53464518 + ... + 53476218.

Almost surely, 2^625656775968 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 625656775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072860669342).

625656775968 is an abundant number, since it is smaller than the sum of its proper divisors (1520064562716).

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

625656775968 is a wasteful number, since it uses less digits than its factorization.

625656775968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12158 (or 12134 counting only the distinct ones).

The product of its digits is 1143072000, while the sum is 72.

The spelling of 625656775968 in words is "six hundred twenty-five billion, six hundred fifty-six million, seven hundred seventy-five thousand, nine hundred sixty-eight".