688472557440 has 128 divisors (see below), whose sum is σ = 2310006729600. Its totient is φ = 173929900032.

The previous prime is 688472557433. The next prime is 688472557483. The reversal of 688472557440 is 44755274886.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9399822 + ... + 9472781.

It is an arithmetic number, because the mean of its divisors is an integer number (18046927575).

Almost surely, 2^688472557440 is an apocalyptic number.

688472557440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688472557440 is an abundant number, since it is smaller than the sum of its proper divisors (1621534172160).

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

688472557440 is a wasteful number, since it uses less digits than its factorization.

688472557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18872644 (or 18872632 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 60.

The spelling of 688472557440 in words is "six hundred eighty-eight billion, four hundred seventy-two million, five hundred fifty-seven thousand, four hundred forty".