74083845264 has 240 divisors, whose sum is σ = 227193792000. Its totient is φ = 20663470080.

The previous prime is 74083845257. The next prime is 74083845271. The reversal of 74083845264 is 46254838047.

It is an interprime number because it is at equal distance from previous prime (74083845257) and next prime (74083845271).

It is a super-2 number, since 2×74083845264² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30879937 + ... + 30882335.

It is an arithmetic number, because the mean of its divisors is an integer number (946640800).

Almost surely, 2^74083845264 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 74083845264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113596896000).

74083845264 is an abundant number, since it is smaller than the sum of its proper divisors (153109946736).

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

74083845264 is a wasteful number, since it uses less digits than its factorization.

74083845264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 74083845264 in words is "seventy-four billion, eighty-three million, eight hundred forty-five thousand, two hundred sixty-four".