688554763264 has 33 divisors (see below), whose sum is σ = 1376490192571. Its totient is φ = 344264104960.

The previous prime is 688554763229. The next prime is 688554763327. The reversal of 688554763264 is 462367455886.

The square root of 688554763264 is 829792.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 688554763196 and 688554763205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 26540379 + ... + 26566309.

Almost surely, 2^688554763264 is an apocalyptic number.

688554763264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

688554763264 is the 829792-nd square number.

It is an amenable number.

688554763264 is a deficient number, since it is larger than the sum of its proper divisors (687935429307).

688554763264 is an frugal number, since it uses more digits than its factorization.

688554763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51882 (or 25933 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 64.

Multiplying 688554763264 by its sum of digits (64), we get a square (44067504848896 = 6638336²).

688554763264 divided by its sum of digits (64) gives a square (10758668176 = 103724²).

The spelling of 688554763264 in words is "six hundred eighty-eight billion, five hundred fifty-four million, seven hundred sixty-three thousand, two hundred sixty-four".