74387341728 has 576 divisors, whose sum is σ = 264625740288. Its totient is φ = 19337379840.

The previous prime is 74387341709. The next prime is 74387341733. The reversal of 74387341728 is 82714378347.

74387341728 is a `hidden beast` number, since 7 + 438 + 7 + 34 + 172 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 234660226 + ... + 234660542.

It is an arithmetic number, because the mean of its divisors is an integer number (459419688).

Almost surely, 2^74387341728 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 74387341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312870144).

74387341728 is an abundant number, since it is smaller than the sum of its proper divisors (190238398560).

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

74387341728 is a wasteful number, since it uses less digits than its factorization.

74387341728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 74387341728 in words is "seventy-four billion, three hundred eighty-seven million, three hundred forty-one thousand, seven hundred twenty-eight".