74884411809792 has 896 divisors, whose sum is σ = 256124545326720. Its totient is φ = 21684836892672.

The previous prime is 74884411809743. The next prime is 74884411809793. The reversal of 74884411809792 is 29790811448847.

74884411809792 is a `hidden beast` number, since 7 + 4 + 8 + 8 + 441 + 1 + 8 + 0 + 97 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 74884411809792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74884411809793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3959405328 + ... + 3959424240.

It is an arithmetic number, because the mean of its divisors is an integer number (285853287195).

Almost surely, 2^{74884411809792} is an apocalyptic number.

74884411809792 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 74884411809792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128062272663360).

74884411809792 is an abundant number, since it is smaller than the sum of its proper divisors (181240133516928).

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

74884411809792 is an equidigital number, since it uses as much as digits as its factorization.

74884411809792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18990 (or 18948 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 74884411809792 in words is "seventy-four trillion, eight hundred eighty-four billion, four hundred eleven million, eight hundred nine thousand, seven hundred ninety-two".