16733765664 has 432 divisors, whose sum is σ = 60267130560. Its totient is φ = 4311014400.

The previous prime is 16733765641. The next prime is 16733765819. The reversal of 16733765664 is 46656733761.

It is a happy number.

16733765664 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 3 + 76 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16733765664.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44152227 + ... + 44152605.

Almost surely, 2^16733765664 is an apocalyptic number.

16733765664 is a gapful number since it is divisible by the number (14) 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 16733765664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30133565280).

16733765664 is an abundant number, since it is smaller than the sum of its proper divisors (43533364896).

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

16733765664 is a wasteful number, since it uses less digits than its factorization.

16733765664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 583 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 16733765664 in words is "sixteen billion, seven hundred thirty-three million, seven hundred sixty-five thousand, six hundred sixty-four".