338640707664 has 80 divisors (see below), whose sum is σ = 1110884871040. Its totient is φ = 96754487040.

The previous prime is 338640707663. The next prime is 338640707729. The reversal of 338640707664 is 466707046833.

It is a happy number.

338640707664 is a `hidden beast` number, since 33 + 86 + 407 + 0 + 76 + 64 = 666.

It is a super-2 number, since 2×338640707664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 338640707664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338640707663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55989157 + ... + 55995204.

It is an arithmetic number, because the mean of its divisors is an integer number (13886060888).

Almost surely, 2^338640707664 is an apocalyptic number.

It is an amenable number.

338640707664 is an abundant number, since it is smaller than the sum of its proper divisors (772244163376).

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

338640707664 is a wasteful number, since it uses less digits than its factorization.

338640707664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111984385 (or 111984373 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 338640707664 in words is "three hundred thirty-eight billion, six hundred forty million, seven hundred seven thousand, six hundred sixty-four".