74100367744 has 64 divisors (see below), whose sum is σ = 159056352000. Its totient is φ = 34183176192.

The previous prime is 74100367741. The next prime is 74100367883. The reversal of 74100367744 is 44776300147.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 74100367744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74100367741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3715752 + ... + 3735640.

It is an arithmetic number, because the mean of its divisors is an integer number (2485255500).

Almost surely, 2^74100367744 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 74100367744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79528176000).

74100367744 is an abundant number, since it is smaller than the sum of its proper divisors (84955984256).

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

74100367744 is a wasteful number, since it uses less digits than its factorization.

74100367744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22155 (or 22143 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 43.

The spelling of 74100367744 in words is "seventy-four billion, one hundred million, three hundred sixty-seven thousand, seven hundred forty-four".