688797566496 has 576 divisors, whose sum is σ = 2228990400000. Its totient is φ = 200286535680.

The previous prime is 688797566459. The next prime is 688797566497. The reversal of 688797566496 is 694665797886.

688797566496 is a `hidden beast` number, since 6 + 8 + 8 + 7 + 9 + 7 + 566 + 49 + 6 = 666.

It is a super-2 number, since 2×688797566496² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (688797566497) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1534070080 + ... + 1534070528.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775000).

Almost surely, 2^688797566496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688797566496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114495200000).

688797566496 is an abundant number, since it is smaller than the sum of its proper divisors (1540192833504).

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

688797566496 is a wasteful number, since it uses less digits than its factorization.

688797566496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 688797566496 in words is "six hundred eighty-eight billion, seven hundred ninety-seven million, five hundred sixty-six thousand, four hundred ninety-six".