74632288768 has 80 divisors (see below), whose sum is σ = 151272728640. Its totient is φ = 36781056000.

The previous prime is 74632288763. The next prime is 74632288769. The reversal of 74632288768 is 86788223647.

It is not an unprimeable number, because it can be changed into a prime (74632288763) 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 7 ways as a sum of consecutive naturals, for example, 10124188 + ... + 10131556.

It is an arithmetic number, because the mean of its divisors is an integer number (1890909108).

Almost surely, 2^74632288768 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 74632288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75636364320).

74632288768 is an abundant number, since it is smaller than the sum of its proper divisors (76640439872).

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

74632288768 is a wasteful number, since it uses less digits than its factorization.

74632288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7653 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 61.

The spelling of 74632288768 in words is "seventy-four billion, six hundred thirty-two million, two hundred eighty-eight thousand, seven hundred sixty-eight".