74109864192 has 1152 divisors, whose sum is σ = 280207872000. Its totient is φ = 17167417344.

The previous prime is 74109864181. The next prime is 74109864193. The reversal of 74109864192 is 29146890147.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74109864193) 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 127 ways as a sum of consecutive naturals, for example, 1106117343 + ... + 1106117409.

It is an arithmetic number, because the mean of its divisors is an integer number (243236000).

Almost surely, 2^74109864192 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 74109864192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140103936000).

74109864192 is an abundant number, since it is smaller than the sum of its proper divisors (206098007808).

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

74109864192 is a wasteful number, since it uses less digits than its factorization.

74109864192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 74109864192 in words is "seventy-four billion, one hundred nine million, eight hundred sixty-four thousand, one hundred ninety-two".