74515790905344 has 180 divisors, whose sum is σ = 217480501045444. Its totient is φ = 24582524239872.

The previous prime is 74515790905327. The next prime is 74515790905349. The reversal of 74515790905344 is 44350909751547.

74515790905344 is a `hidden beast` number, since 7 + 4 + 5 + 1 + 5 + 7 + 9 + 0 + 90 + 534 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59023694905344 + 15492096000000 = 7682688^2 + 3936000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74515790905349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11698374 + ... + 16908090.

Almost surely, 2^{74515790905344} 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 74515790905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108740250522722).

74515790905344 is an abundant number, since it is smaller than the sum of its proper divisors (142964710140100).

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

74515790905344 is an equidigital number, since it uses as much as digits as its factorization.

74515790905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209848 (or 5209819 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 74515790905344 in words is "seventy-four trillion, five hundred fifteen billion, seven hundred ninety million, nine hundred five thousand, three hundred forty-four".