74315169792 has 512 divisors, whose sum is σ = 239889556800. Its totient is φ = 22932357120.

The previous prime is 74315169757. The next prime is 74315169793. The reversal of 74315169792 is 29796151347.

74315169792 is a `hidden beast` number, since 7 + 4 + 31 + 516 + 9 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×74315169792² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74315169793) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1218281442 + ... + 1218281502.

Almost surely, 2^74315169792 is an apocalyptic number.

74315169792 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 74315169792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119944778400).

74315169792 is an abundant number, since it is smaller than the sum of its proper divisors (165574387008).

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

74315169792 is an frugal number, since it uses more digits than its factorization.

74315169792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 74315169792 in words is "seventy-four billion, three hundred fifteen million, one hundred sixty-nine thousand, seven hundred ninety-two".