68507477508096 has 384 divisors, whose sum is σ = 223344160790400. Its totient is φ = 20043957534720.

The previous prime is 68507477508089. The next prime is 68507477508101. The reversal of 68507477508096 is 69080577470586.

68507477508096 is a `hidden beast` number, since 6 + 8 + 507 + 47 + 75 + 0 + 8 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93712825 + ... + 94441031.

It is an arithmetic number, because the mean of its divisors is an integer number (581625418725).

Almost surely, 2^{68507477508096} is an apocalyptic number.

68507477508096 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 68507477508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111672080395200).

68507477508096 is an abundant number, since it is smaller than the sum of its proper divisors (154836683282304).

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

68507477508096 is a wasteful number, since it uses less digits than its factorization.

68507477508096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728283 (or 728252 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 68507477508096 in words is "sixty-eight trillion, five hundred seven billion, four hundred seventy-seven million, five hundred eight thousand, ninety-six".