75229442774928 has 60 divisors (see below), whose sum is σ = 226733181702300. Its totient is φ = 23147520853248.

The previous prime is 75229442774903. The next prime is 75229442774947. The reversal of 75229442774928 is 82947724492257.

75229442774928 is a `hidden beast` number, since 7 + 5 + 2 + 2 + 94 + 42 + 7 + 7 + 492 + 8 = 666.

75229442774928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 49372095734784 + 25857347040144 = 7026528^2 + 5085012^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20093332203 + ... + 20093335946.

It is an arithmetic number, because the mean of its divisors is an integer number (3778886361705).

Almost surely, 2^{75229442774928} is an apocalyptic number.

75229442774928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

75229442774928 is an abundant number, since it is smaller than the sum of its proper divisors (151503738927372).

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

75229442774928 is a wasteful number, since it uses less digits than its factorization.

75229442774928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40186668176 (or 40186668167 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 75229442774928 in words is "seventy-five trillion, two hundred twenty-nine billion, four hundred forty-two million, seven hundred seventy-four thousand, nine hundred twenty-eight".