968338657764 has 63 divisors (see below), whose sum is σ = 2540866136403. Its totient is φ = 322761839832.

The previous prime is 968338657753. The next prime is 968338657787. The reversal of 968338657764 is 467756833869.

The square root of 968338657764 is 984042.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×968338657764² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 968338657692 and 968338657701.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 53129157 + ... + 53147379.

Almost surely, 2^968338657764 is an apocalyptic number.

968338657764 is the 984042-nd square number.

It is an amenable number.

968338657764 is an abundant number, since it is smaller than the sum of its proper divisors (1572527478639).

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

968338657764 is an frugal number, since it uses more digits than its factorization.

968338657764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36468 (or 18228 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 968338657764 in words is "nine hundred sixty-eight billion, three hundred thirty-eight million, six hundred fifty-seven thousand, seven hundred sixty-four".