8617625640 has 448 divisors, whose sum is σ = 31730227200. Its totient is φ = 2092801536.

The previous prime is 8617625633. The next prime is 8617625659. The reversal of 8617625640 is 465267168.

8617625640 is a `hidden beast` number, since 8 + 6 + 17 + 625 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48143071 + ... + 48143249.

It is an arithmetic number, because the mean of its divisors is an integer number (70826400).

Almost surely, 2^8617625640 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 8617625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865113600).

8617625640 is an abundant number, since it is smaller than the sum of its proper divisors (23112601560).

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

8617625640 is a wasteful number, since it uses less digits than its factorization.

8617625640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

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

The square root of 8617625640 is about 92831.1673954389. The cubic root of 8617625640 is about 2050.1983262417.

The spelling of 8617625640 in words is "eight billion, six hundred seventeen million, six hundred twenty-five thousand, six hundred forty".