688673155668480 has 960 divisors, whose sum is σ = 2539062627019776. Its totient is φ = 172199706624000.

The previous prime is 688673155668457. The next prime is 688673155668541. The reversal of 688673155668480 is 84866551376886.

688673155668480 is a `hidden beast` number, since 6 + 8 + 8 + 6 + 7 + 3 + 1 + 5 + 566 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 688673155668480.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6368824015 + ... + 6368932145.

Almost surely, 2^{688673155668480} is an apocalyptic number.

688673155668480 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 688673155668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269531313509888).

688673155668480 is an abundant number, since it is smaller than the sum of its proper divisors (1850389471351296).

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

688673155668480 is a wasteful number, since it uses less digits than its factorization.

688673155668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108469 (or 108450 counting only the distinct ones).

The product of its (nonzero) digits is 11147673600, while the sum is 81.

The spelling of 688673155668480 in words is "six hundred eighty-eight trillion, six hundred seventy-three billion, one hundred fifty-five million, six hundred sixty-eight thousand, four hundred eighty".