74458034784 has 576 divisors, whose sum is σ = 266375692800. Its totient is φ = 19814243328.

The previous prime is 74458034713. The next prime is 74458034797. The reversal of 74458034784 is 48743085447.

74458034784 is a `hidden beast` number, since 7 + 445 + 80 + 3 + 47 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 74458034784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146282722 + ... + 146283230.

It is an arithmetic number, because the mean of its divisors is an integer number (462457800).

Almost surely, 2^74458034784 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 74458034784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133187846400).

74458034784 is an abundant number, since it is smaller than the sum of its proper divisors (191917658016).

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

74458034784 is a wasteful number, since it uses less digits than its factorization.

74458034784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 74458034784 in words is "seventy-four billion, four hundred fifty-eight million, thirty-four thousand, seven hundred eighty-four".