74352328704 has 320 divisors, whose sum is σ = 225045879300. Its totient is φ = 24461180928.

The previous prime is 74352328703. The next prime is 74352328709. The reversal of 74352328704 is 40782325347.

74352328704 is a `hidden beast` number, since 7 + 43 + 523 + 2 + 87 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61345382400 + 13006946304 = 247680^2 + 114048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74352328704.

It is not an unprimeable number, because it can be changed into a prime (74352328703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289308544 + ... + 289308800.

Almost surely, 2^74352328704 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 74352328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112522939650).

74352328704 is an abundant number, since it is smaller than the sum of its proper divisors (150693550596).

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

74352328704 is an equidigital number, since it uses as much as digits as its factorization.

74352328704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 74352328704 in words is "seventy-four billion, three hundred fifty-two million, three hundred twenty-eight thousand, seven hundred four".