688532661960 has 512 divisors, whose sum is σ = 2495585272320. Its totient is φ = 149734195200.

The previous prime is 688532661923. The next prime is 688532661967. The reversal of 688532661960 is 69166235886.

It is a happy number.

688532661960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 688532661894 and 688532661903.

It is not an unprimeable number, because it can be changed into a prime (688532661967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194884354 + ... + 194887886.

It is an arithmetic number, because the mean of its divisors is an integer number (4874189985).

Almost surely, 2^688532661960 is an apocalyptic number.

688532661960 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 688532661960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247792636160).

688532661960 is an abundant number, since it is smaller than the sum of its proper divisors (1807052610360).

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

688532661960 is a wasteful number, since it uses less digits than its factorization.

688532661960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 688532661960 in words is "six hundred eighty-eight billion, five hundred thirty-two million, six hundred sixty-one thousand, nine hundred sixty".