1163657664 has 280 divisors, whose sum is σ = 3841504128. Its totient is φ = 345876480.

The previous prime is 1163657639. The next prime is 1163657711. The reversal of 1163657664 is 4667563611.

1163657664 is a `hidden beast` number, since 1 + 1 + 636 + 5 + 7 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2088874 + ... + 2089430.

Almost surely, 2^1163657664 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 1163657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920752064).

1163657664 is an abundant number, since it is smaller than the sum of its proper divisors (2677846464).

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

1163657664 is a wasteful number, since it uses less digits than its factorization.

1163657664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1163657664 is about 34112.4268265980. The cubic root of 1163657664 is about 1051.8207755132.

The spelling of 1163657664 in words is "one billion, one hundred sixty-three million, six hundred fifty-seven thousand, six hundred sixty-four".