68808096000 has 1152 divisors, whose sum is σ = 300395397120. Its totient is φ = 15178752000.

The previous prime is 68808095999. The next prime is 68808096011. The reversal of 68808096000 is 69080886.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187487817 + ... + 187488183.

Almost surely, 2^68808096000 is an apocalyptic number.

68808096000 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 68808096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150197698560).

68808096000 is an abundant number, since it is smaller than the sum of its proper divisors (231587301120).

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

68808096000 is a wasteful number, since it uses less digits than its factorization.

68808096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 68808096000 in words is "sixty-eight billion, eight hundred eight million, ninety-six thousand".