68930600832000 has 1584 divisors, whose sum is σ = 259825720808160. Its totient is φ = 18247348224000.

The previous prime is 68930600831977. The next prime is 68930600832013. The reversal of 68930600832000 is 23800603986.

68930600832000 is a `hidden beast` number, since 6 + 8 + 9 + 3 + 0 + 600 + 8 + 32 + 0 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 177199487806 + ... + 177199488194.

Almost surely, 2^{68930600832000} is an apocalyptic number.

68930600832000 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 68930600832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129912860404080).

68930600832000 is an abundant number, since it is smaller than the sum of its proper divisors (190895119976160).

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

68930600832000 is an frugal number, since it uses more digits than its factorization.

68930600832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 68930600832000 in words is "sixty-eight trillion, nine hundred thirty billion, six hundred million, eight hundred thirty-two thousand".