8690015664 has 400 divisors, whose sum is σ = 30334487040. Its totient is φ = 2369157120.

The previous prime is 8690015629. The next prime is 8690015683. The reversal of 8690015664 is 4665100968.

8690015664 is a `hidden beast` number, since 86 + 9 + 0 + 0 + 1 + 566 + 4 = 666.

8690015664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5573317 + ... + 5574875.

Almost surely, 2^8690015664 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 8690015664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167243520).

8690015664 is an abundant number, since it is smaller than the sum of its proper divisors (21644471376).

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

8690015664 is a wasteful number, since it uses less digits than its factorization.

8690015664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8690015664 is about 93220.2535074862. The cubic root of 8690015664 is about 2055.9230378414.

The spelling of 8690015664 in words is "eight billion, six hundred ninety million, fifteen thousand, six hundred sixty-four".