74413268352 has 256 divisors, whose sum is σ = 231629760000. Its totient is φ = 23453411328.

The previous prime is 74413268299. The next prime is 74413268401. The reversal of 74413268352 is 25386231447.

It is a junction number, because it is equal to n+sod(n) for n = 74413268298 and 74413268307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54434773 + ... + 54436139.

It is an arithmetic number, because the mean of its divisors is an integer number (904803750).

Almost surely, 2^74413268352 is an apocalyptic number.

74413268352 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 74413268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115814880000).

74413268352 is an abundant number, since it is smaller than the sum of its proper divisors (157216491648).

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

74413268352 is a wasteful number, since it uses less digits than its factorization.

74413268352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2220 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

Adding to 74413268352 its reverse (25386231447), we get a palindrome (99799499799).

The spelling of 74413268352 in words is "seventy-four billion, four hundred thirteen million, two hundred sixty-eight thousand, three hundred fifty-two".