688772617920 has 448 divisors, whose sum is σ = 2501798400000. Its totient is φ = 178258268160.

The previous prime is 688772617891. The next prime is 688772617987. The reversal of 688772617920 is 29716277886.

688772617920 is a `hidden beast` number, since 6 + 8 + 8 + 7 + 7 + 2 + 617 + 9 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137779581 + ... + 137784579.

Almost surely, 2^688772617920 is an apocalyptic number.

688772617920 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 688772617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250899200000).

688772617920 is an abundant number, since it is smaller than the sum of its proper divisors (1813025782080).

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

688772617920 is a wasteful number, since it uses less digits than its factorization.

688772617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 688772617920 in words is "six hundred eighty-eight billion, seven hundred seventy-two million, six hundred seventeen thousand, nine hundred twenty".