8625576960 has 1584 divisors, whose sum is σ = 42810925248. Its totient is φ = 1557135360.

The previous prime is 8625576931. The next prime is 8625577013. The reversal of 8625576960 is 696755268.

It is a happy number.

8625576960 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 576 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8625576897 and 8625576906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 507386872 + ... + 507386888.

Almost surely, 2^8625576960 is an apocalyptic number.

8625576960 is a gapful number since it is divisible by the number (80) 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 8625576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405462624).

8625576960 is an abundant number, since it is smaller than the sum of its proper divisors (34185348288).

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

8625576960 is a wasteful number, since it uses less digits than its factorization.

8625576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 8625576960 is about 92873.9843013101. The cubic root of 8625576960 is about 2050.8286921307.

It can be divided in two parts, 8625 and 576960, that added together give a palindrome (585585).

The spelling of 8625576960 in words is "eight billion, six hundred twenty-five million, five hundred seventy-six thousand, nine hundred sixty".