74116449792 has 960 divisors, whose sum is σ = 288849369600. Its totient is φ = 18587197440.

The previous prime is 74116449779. The next prime is 74116449817. The reversal of 74116449792 is 29794461147.

74116449792 is a `hidden beast` number, since 7 + 4 + 1 + 1 + 64 + 497 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2555739634 + ... + 2555739662.

It is an arithmetic number, because the mean of its divisors is an integer number (300884760).

Almost surely, 2^74116449792 is an apocalyptic number.

74116449792 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 74116449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144424684800).

74116449792 is an abundant number, since it is smaller than the sum of its proper divisors (214732919808).

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

74116449792 is an frugal number, since it uses more digits than its factorization.

74116449792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 74116449792 in words is "seventy-four billion, one hundred sixteen million, four hundred forty-nine thousand, seven hundred ninety-two".