74268013600 has 72 divisors (see below), whose sum is σ = 197789246928. Its totient is φ = 27006547200.

The previous prime is 74268013591. The next prime is 74268013609. The reversal of 74268013600 is 631086247.

It is an interprime number because it is at equal distance from previous prime (74268013591) and next prime (74268013609).

It is a self number, because there is not a number n which added to its sum of digits gives 74268013600.

It is not an unprimeable number, because it can be changed into a prime (74268013609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4210974 + ... + 4228573.

It is an arithmetic number, because the mean of its divisors is an integer number (2747072874).

Almost surely, 2^74268013600 is an apocalyptic number.

It is an amenable number.

74268013600 is an abundant number, since it is smaller than the sum of its proper divisors (123521233328).

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

74268013600 is a wasteful number, since it uses less digits than its factorization.

74268013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8439578 (or 8439565 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 74268013600 its reverse (631086247), we get a palindrome (74899099847).

The spelling of 74268013600 in words is "seventy-four billion, two hundred sixty-eight million, thirteen thousand, six hundred".