688197928320 has 672 divisors, whose sum is σ = 2869529235120. Its totient is φ = 157297158144.

The previous prime is 688197928283. The next prime is 688197928321. The reversal of 688197928320 is 23829791886.

688197928320 is a `hidden beast` number, since 68 + 81 + 97 + 92 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688197928321) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22846389 + ... + 22876491.

Almost surely, 2^688197928320 is an apocalyptic number.

688197928320 is a gapful number since it is divisible by the number (60) 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 688197928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434764617560).

688197928320 is an abundant number, since it is smaller than the sum of its proper divisors (2181331306800).

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

688197928320 is an equidigital number, since it uses as much as digits as its factorization.

688197928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30154 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 688197928320 in words is "six hundred eighty-eight billion, one hundred ninety-seven million, nine hundred twenty-eight thousand, three hundred twenty".