688030025760 has 1296 divisors, whose sum is σ = 3052835158464. Its totient is φ = 138119731200.

The previous prime is 688030025759. The next prime is 688030025777. The reversal of 688030025760 is 67520030886.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1172112187 + ... + 1172112773.

It is an arithmetic number, because the mean of its divisors is an integer number (2355582684).

Almost surely, 2^688030025760 is an apocalyptic number.

688030025760 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 688030025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526417579232).

688030025760 is an abundant number, since it is smaller than the sum of its proper divisors (2364805132704).

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

688030025760 is a wasteful number, since it uses less digits than its factorization.

688030025760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 688030025760 in words is "six hundred eighty-eight billion, thirty million, twenty-five thousand, seven hundred sixty".