688093161600 has 768 divisors, whose sum is σ = 2606783155200. Its totient is φ = 158235033600.

The previous prime is 688093161533. The next prime is 688093161653. The reversal of 688093161600 is 6161390886.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 688093161600.

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 95 ways as a sum of consecutive naturals, for example, 112192134 + ... + 112198266.

It is an arithmetic number, because the mean of its divisors is an integer number (3394248900).

Almost surely, 2^688093161600 is an apocalyptic number.

688093161600 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 688093161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303391577600).

688093161600 is an abundant number, since it is smaller than the sum of its proper divisors (1918689993600).

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

688093161600 is a wasteful number, since it uses less digits than its factorization.

688093161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 688093161600 in words is "six hundred eighty-eight billion, ninety-three million, one hundred sixty-one thousand, six hundred".