8631209664 has 420 divisors, whose sum is σ = 32479076520. Its totient is φ = 2241146880.

The previous prime is 8631209633. The next prime is 8631209681. The reversal of 8631209664 is 4669021368.

8631209664 is a `hidden beast` number, since 8 + 631 + 2 + 0 + 9 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2792632 + ... + 2795720.

Almost surely, 2^8631209664 is an apocalyptic number.

8631209664 is a gapful number since it is divisible by the number (84) 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 8631209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239538260).

8631209664 is an abundant number, since it is smaller than the sum of its proper divisors (23847866856).

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

8631209664 is a wasteful number, since it uses less digits than its factorization.

8631209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8631209664 is about 92904.3037969716. The cubic root of 8631209664 is about 2051.2750080672.

The spelling of 8631209664 in words is "eight billion, six hundred thirty-one million, two hundred nine thousand, six hundred sixty-four".