74803772160 has 1440 divisors, whose sum is σ = 319107317760. Its totient is φ = 16554295296.

The previous prime is 74803772083. The next prime is 74803772189. The reversal of 74803772160 is 6127730847.

74803772160 is a `hidden beast` number, since 7 + 480 + 3 + 7 + 7 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 589006017 + ... + 589006143.

It is an arithmetic number, because the mean of its divisors is an integer number (221602304).

Almost surely, 2^74803772160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74803772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159553658880).

74803772160 is an abundant number, since it is smaller than the sum of its proper divisors (244303545600).

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

74803772160 is a wasteful number, since it uses less digits than its factorization.

74803772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 74803772160 in words is "seventy-four billion, eight hundred three million, seven hundred seventy-two thousand, one hundred sixty".