45779728800 has 144 divisors (see below), whose sum is σ = 160475666400. Its totient is φ = 11268848640.

The previous prime is 45779728781. The next prime is 45779728837. The reversal of 45779728800 is 882797754.

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 23 ways as a sum of consecutive naturals, for example, 702450 + ... + 764849.

It is an arithmetic number, because the mean of its divisors is an integer number (1114414350).

Almost surely, 2^45779728800 is an apocalyptic number.

45779728800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45779728800 is an abundant number, since it is smaller than the sum of its proper divisors (114695937600).

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

45779728800 is a wasteful number, since it uses less digits than its factorization.

45779728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467335 (or 1467322 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 45779728800 in words is "forty-five billion, seven hundred seventy-nine million, seven hundred twenty-eight thousand, eight hundred".