68121779400576 has 512 divisors, whose sum is σ = 222969871872000. Its totient is φ = 20301538498560.

The previous prime is 68121779400557. The next prime is 68121779400713. The reversal of 68121779400576 is 67500497712186.

68121779400576 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 17 + 7 + 9 + 40 + 0 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1576615965 + ... + 1576659171.

It is an arithmetic number, because the mean of its divisors is an integer number (435488031000).

Almost surely, 2^{68121779400576} is an apocalyptic number.

68121779400576 is a gapful number since it is divisible by the number (66) 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 68121779400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111484935936000).

68121779400576 is an abundant number, since it is smaller than the sum of its proper divisors (154848092471424).

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

68121779400576 is a wasteful number, since it uses less digits than its factorization.

68121779400576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43927 (or 43909 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 68121779400576 in words is "sixty-eight trillion, one hundred twenty-one billion, seven hundred seventy-nine million, four hundred thousand, five hundred seventy-six".