6735665664 has 240 divisors, whose sum is σ = 23927135232. Its totient is φ = 1776328704.

The previous prime is 6735665639. The next prime is 6735665681. The reversal of 6735665664 is 4665665376.

6735665664 is a `hidden beast` number, since 6 + 73 + 5 + 6 + 6 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6735665664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411297 + ... + 427359.

Almost surely, 2^6735665664 is an apocalyptic number.

6735665664 is a gapful number since it is divisible by the number (64) 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 6735665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963567616).

6735665664 is an abundant number, since it is smaller than the sum of its proper divisors (17191469568).

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

6735665664 is a wasteful number, since it uses less digits than its factorization.

6735665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16107 (or 16088 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The square root of 6735665664 is about 82071.1012720068. The cubic root of 6735665664 is about 1888.5428392154.

The spelling of 6735665664 in words is "six billion, seven hundred thirty-five million, six hundred sixty-five thousand, six hundred sixty-four".