74481128736 has 576 divisors, whose sum is σ = 247193130240. Its totient is φ = 19198771200.

The previous prime is 74481128731. The next prime is 74481128791. The reversal of 74481128736 is 63782118447.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74481128731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 767846640 + ... + 767846736.

It is an arithmetic number, because the mean of its divisors is an integer number (429154740).

Almost surely, 2^74481128736 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 74481128736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123596565120).

74481128736 is an abundant number, since it is smaller than the sum of its proper divisors (172712001504).

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

74481128736 is a wasteful number, since it uses less digits than its factorization.

74481128736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 210 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The spelling of 74481128736 in words is "seventy-four billion, four hundred eighty-one million, one hundred twenty-eight thousand, seven hundred thirty-six".