868627728004 has 27 divisors (see below), whose sum is σ = 1574421182607. Its totient is φ = 419311427808.

The previous prime is 868627727993. The next prime is 868627728041. The reversal of 868627728004 is 400827726868.

It is a happy number.

The square root of 868627728004 is 932002.

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

868627728004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45325558404 + 823302169600 = 212898^2 + 907360^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 868627728004.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54048082 + ... + 54064150.

Almost surely, 2^868627728004 is an apocalyptic number.

868627728004 is the 932002-nd square number.

It is an amenable number.

868627728004 is a deficient number, since it is larger than the sum of its proper divisors (705793454603).

868627728004 is an frugal number, since it uses more digits than its factorization.

868627728004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32200 (or 16100 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 58.

The spelling of 868627728004 in words is "eight hundred sixty-eight billion, six hundred twenty-seven million, seven hundred twenty-eight thousand, four".