73413122688 has 448 divisors, whose sum is σ = 232247635200. Its totient is φ = 23066726400.

The previous prime is 73413122669. The next prime is 73413122693. The reversal of 73413122688 is 88622131437.

73413122688 is a `hidden beast` number, since 7 + 3 + 413 + 1 + 226 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 118599243 + ... + 118599861.

It is an arithmetic number, because the mean of its divisors is an integer number (518409900).

Almost surely, 2^73413122688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73413122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116123817600).

73413122688 is an abundant number, since it is smaller than the sum of its proper divisors (158834512512).

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

73413122688 is an equidigital number, since it uses as much as digits as its factorization.

73413122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 696 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 73413122688 in words is "seventy-three billion, four hundred thirteen million, one hundred twenty-two thousand, six hundred eighty-eight".