68833123591680 has 2400 divisors, whose sum is σ = 300536013571200. Its totient is φ = 14993398038528.

The previous prime is 68833123591643. The next prime is 68833123591693. The reversal of 68833123591680 is 8619532133886.

68833123591680 is a `hidden beast` number, since 6 + 8 + 8 + 3 + 31 + 2 + 3 + 591 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23278024762 + ... + 23278027718.

It is an arithmetic number, because the mean of its divisors is an integer number (125223338988).

Almost surely, 2^{68833123591680} is an apocalyptic number.

68833123591680 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 68833123591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150268006785600).

68833123591680 is an abundant number, since it is smaller than the sum of its proper divisors (231702889979520).

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

68833123591680 is a wasteful number, since it uses less digits than its factorization.

68833123591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 68833123591680 in words is "sixty-eight trillion, eight hundred thirty-three billion, one hundred twenty-three million, five hundred ninety-one thousand, six hundred eighty".