688891288320 has 1080 divisors, whose sum is σ = 2659622377104. Its totient is φ = 170198433792.

The previous prime is 688891288297. The next prime is 688891288339. The reversal of 688891288320 is 23882198886.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-4 number, since 4×688891288320⁴ (a number of 48 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2486972022 + ... + 2486972298.

Almost surely, 2^688891288320 is an apocalyptic number.

688891288320 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 688891288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329811188552).

688891288320 is an abundant number, since it is smaller than the sum of its proper divisors (1970731088784).

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

688891288320 is a wasteful number, since it uses less digits than its factorization.

688891288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 688891288320 in words is "six hundred eighty-eight billion, eight hundred ninety-one million, two hundred eighty-eight thousand, three hundred twenty".