74736728352 has 576 divisors, whose sum is σ = 260663316480. Its totient is φ = 20692869120.

The previous prime is 74736728321. The next prime is 74736728359. The reversal of 74736728352 is 25382763747.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74736728359) 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, 172601928 + ... + 172602360.

It is an arithmetic number, because the mean of its divisors is an integer number (452540480).

Almost surely, 2^74736728352 is an apocalyptic number.

74736728352 is a gapful number since it is divisible by the number (72) 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 74736728352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130331658240).

74736728352 is an abundant number, since it is smaller than the sum of its proper divisors (185926588128).

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

74736728352 is a wasteful number, since it uses less digits than its factorization.

74736728352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 589 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 74736728352 in words is "seventy-four billion, seven hundred thirty-six million, seven hundred twenty-eight thousand, three hundred fifty-two".