74733346944 has 144 divisors (see below), whose sum is σ = 228448312170. Its totient is φ = 23445651456.

The previous prime is 74733346913. The next prime is 74733346949. The reversal of 74733346944 is 44964333747.

74733346944 is a `hidden beast` number, since 74 + 73 + 3 + 3 + 469 + 44 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 74398017600 + 335329344 = 272760^2 + 18312^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (74733346949) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 220692 + ... + 445164.

Almost surely, 2^74733346944 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 74733346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114224156085).

74733346944 is an abundant number, since it is smaller than the sum of its proper divisors (153714965226).

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

74733346944 is a wasteful number, since it uses less digits than its factorization.

74733346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224527 (or 224495 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 54.

The spelling of 74733346944 in words is "seventy-four billion, seven hundred thirty-three million, three hundred forty-six thousand, nine hundred forty-four".