2684765664 has 648 divisors, whose sum is σ = 10244864448. Its totient is φ = 661893120.

The previous prime is 2684765659. The next prime is 2684765687. The reversal of 2684765664 is 4665674862.

2684765664 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 76 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2684765664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 86605329 + ... + 86605359.

It is an arithmetic number, because the mean of its divisors is an integer number (15809976).

Almost surely, 2^2684765664 is an apocalyptic number.

2684765664 is a gapful number since it is divisible by the number (24) 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 2684765664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122432224).

2684765664 is an abundant number, since it is smaller than the sum of its proper divisors (7560098784).

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

2684765664 is a wasteful number, since it uses less digits than its factorization.

2684765664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 2684765664 is about 51814.7243937474. The cubic root of 2684765664 is about 1389.8527635912.

The spelling of 2684765664 in words is "two billion, six hundred eighty-four million, seven hundred sixty-five thousand, six hundred sixty-four".