688090152960 has 896 divisors, whose sum is σ = 2833100069760. Its totient is φ = 157086646272.

The previous prime is 688090152947. The next prime is 688090152989. The reversal of 688090152960 is 69251090886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 688090152897 and 688090152906.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 836075109 + ... + 836075931.

Almost surely, 2^688090152960 is an apocalyptic number.

688090152960 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 688090152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416550034880).

688090152960 is an abundant number, since it is smaller than the sum of its proper divisors (2145009916800).

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

688090152960 is an frugal number, since it uses more digits than its factorization.

688090152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 688090152960 in words is "six hundred eighty-eight billion, ninety million, one hundred fifty-two thousand, nine hundred sixty".