74040834253824 has 1584 divisors, whose sum is σ = 241346132099072. Its totient is φ = 22654553112576.

The previous prime is 74040834253811. The next prime is 74040834253849. The reversal of 74040834253824 is 42835243804047.

74040834253824 is a `hidden beast` number, since 7 + 4 + 0 + 4 + 0 + 83 + 4 + 2 + 538 + 24 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 582998694849 + ... + 582998694975.

Almost surely, 2^{74040834253824} 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 74040834253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120673066049536).

74040834253824 is an abundant number, since it is smaller than the sum of its proper divisors (167305297845248).

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

74040834253824 is a wasteful number, since it uses less digits than its factorization.

74040834253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 74040834253824 in words is "seventy-four trillion, forty billion, eight hundred thirty-four million, two hundred fifty-three thousand, eight hundred twenty-four".