73794724992 has 384 divisors, whose sum is σ = 236224460160. Its totient is φ = 21993455616.

The previous prime is 73794724973. The next prime is 73794725057. The reversal of 73794724992 is 29942749737.

73794724992 is a `hidden beast` number, since 7 + 3 + 79 + 4 + 72 + 499 + 2 = 666.

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

It is a super-2 number, since 2×73794724992² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77924263 + ... + 77925209.

It is an arithmetic number, because the mean of its divisors is an integer number (615167865).

Almost surely, 2^73794724992 is an apocalyptic number.

73794724992 is a gapful number since it is divisible by the number (72) 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 73794724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118112230080).

73794724992 is an abundant number, since it is smaller than the sum of its proper divisors (162429735168).

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

73794724992 is a wasteful number, since it uses less digits than its factorization.

73794724992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1165 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The spelling of 73794724992 in words is "seventy-three billion, seven hundred ninety-four million, seven hundred twenty-four thousand, nine hundred ninety-two".