688670047296000 has 5120 divisors, whose sum is σ = 3294509137920000. Its totient is φ = 137624002560000.

The previous prime is 688670047295983. The next prime is 688670047296053. The reversal of 688670047296000 is 692740076886.

688670047296000 is a `hidden beast` number, since 6 + 8 + 8 + 6 + 70 + 0 + 472 + 96 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 820822463581 + ... + 820822464419.

It is an arithmetic number, because the mean of its divisors is an integer number (643458816000).

Almost surely, 2^{688670047296000} is an apocalyptic number.

688670047296000 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 688670047296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647254568960000).

688670047296000 is an abundant number, since it is smaller than the sum of its proper divisors (2605839090624000).

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

688670047296000 is a wasteful number, since it uses less digits than its factorization.

688670047296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 688670047296000 in words is "six hundred eighty-eight trillion, six hundred seventy billion, forty-seven million, two hundred ninety-six thousand".