688358484864 has 96 divisors (see below), whose sum is σ = 1981787488200. Its totient is φ = 229341133824.

The previous prime is 688358484829. The next prime is 688358484887. The reversal of 688358484864 is 468484853886.

688358484864 is a `hidden beast` number, since 6 + 8 + 83 + 5 + 8 + 484 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 688358484792 and 688358484801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2239087 + ... + 2527889.

Almost surely, 2^688358484864 is an apocalyptic number.

688358484864 is a gapful number since it is divisible by the number (64) 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 688358484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990893744100).

688358484864 is an abundant number, since it is smaller than the sum of its proper divisors (1293429003336).

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

688358484864 is a wasteful number, since it uses less digits than its factorization.

688358484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290892 (or 290877 counting only the distinct ones).

The product of its digits is 1132462080, while the sum is 72.

The spelling of 688358484864 in words is "six hundred eighty-eight billion, three hundred fifty-eight million, four hundred eighty-four thousand, eight hundred sixty-four".