74400665344 has 72 divisors (see below), whose sum is σ = 149749105968. Its totient is φ = 36891402240.

The previous prime is 74400665327. The next prime is 74400665377. The reversal of 74400665344 is 44356600447.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 74400665344.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16690764 + ... + 16695220.

It is an arithmetic number, because the mean of its divisors is an integer number (2079848694).

Almost surely, 2^74400665344 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 74400665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74874552984).

74400665344 is an abundant number, since it is smaller than the sum of its proper divisors (75348440624).

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

74400665344 is a wasteful number, since it uses less digits than its factorization.

74400665344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 74400665344 in words is "seventy-four billion, four hundred million, six hundred sixty-five thousand, three hundred forty-four".