74400674432 has 64 divisors (see below), whose sum is σ = 169708611840. Its totient is φ = 31826856960.

The previous prime is 74400674429. The next prime is 74400674461. The reversal of 74400674432 is 23447600447.

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 74400674432.

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, 407993 + ... + 561479.

It is an arithmetic number, because the mean of its divisors is an integer number (2651697060).

Almost surely, 2^74400674432 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 74400674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84854305920).

74400674432 is an abundant number, since it is smaller than the sum of its proper divisors (95307937408).

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

74400674432 is a wasteful number, since it uses less digits than its factorization.

74400674432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154049 (or 154037 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 41.

The spelling of 74400674432 in words is "seventy-four billion, four hundred million, six hundred seventy-four thousand, four hundred thirty-two".