688526765136 has 240 divisors, whose sum is σ = 2260141147264. Its totient is φ = 191572770816.

The previous prime is 688526765131. The next prime is 688526765209. The reversal of 688526765136 is 631567625886.

688526765136 is a `hidden beast` number, since 6 + 8 + 8 + 52 + 67 + 6 + 513 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (688526765131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14583360 + ... + 14630496.

Almost surely, 2^688526765136 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 688526765136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130070573632).

688526765136 is an abundant number, since it is smaller than the sum of its proper divisors (1571614382128).

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

688526765136 is a wasteful number, since it uses less digits than its factorization.

688526765136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47538 (or 47529 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 688526765136 in words is "six hundred eighty-eight billion, five hundred twenty-six million, seven hundred sixty-five thousand, one hundred thirty-six".