74642581728 has 768 divisors, whose sum is σ = 265314631680. Its totient is φ = 20118067200.

The previous prime is 74642581723. The next prime is 74642581733. The reversal of 74642581728 is 82718524647.

74642581728 is a `hidden beast` number, since 7 + 46 + 425 + 8 + 172 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (74642581723) and next prime (74642581733).

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

Its product of digits (6021120) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74642581723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 587736801 + ... + 587736927.

It is an arithmetic number, because the mean of its divisors is an integer number (345461760).

Almost surely, 2^74642581728 is an apocalyptic number.

74642581728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74642581728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132657315840).

74642581728 is an abundant number, since it is smaller than the sum of its proper divisors (190672049952).

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

74642581728 is a wasteful number, since it uses less digits than its factorization.

74642581728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 74642581728 in words is "seventy-four billion, six hundred forty-two million, five hundred eighty-one thousand, seven hundred twenty-eight".