8637416640 has 224 divisors, whose sum is σ = 30758952960. Its totient is φ = 2281540608.

The previous prime is 8637416639. The next prime is 8637416693. The reversal of 8637416640 is 466147368.

It is a happy number.

8637416640 is a `hidden beast` number, since 8 + 637 + 4 + 1 + 6 + 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 31 ways as a sum of consecutive naturals, for example, 919809 + ... + 929151.

Almost surely, 2^8637416640 is an apocalyptic number.

8637416640 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 8637416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379476480).

8637416640 is an abundant number, since it is smaller than the sum of its proper divisors (22121536320).

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

8637416640 is a wasteful number, since it uses less digits than its factorization.

8637416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8637416640 is about 92937.7030058307. The cubic root of 8637416640 is about 2051.7666025023.

The spelling of 8637416640 in words is "eight billion, six hundred thirty-seven million, four hundred sixteen thousand, six hundred forty".