73117752642 has 96 divisors (see below), whose sum is σ = 180912476160. Its totient is φ = 21140028000.

The previous prime is 73117752613. The next prime is 73117752727. The reversal of 73117752642 is 24625771137.

73117752642 is a `hidden beast` number, since 7 + 3 + 11 + 77 + 526 + 42 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351909 + ... + 519687.

It is an arithmetic number, because the mean of its divisors is an integer number (1884504960).

Almost surely, 2^73117752642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73117752642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90456238080).

73117752642 is an abundant number, since it is smaller than the sum of its proper divisors (107794723518).

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

73117752642 is a wasteful number, since it uses less digits than its factorization.

73117752642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167900 (or 167897 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 73117752642 in words is "seventy-three billion, one hundred seventeen million, seven hundred fifty-two thousand, six hundred forty-two".