45777427660800 has 1152 divisors, whose sum is σ = 189418549338720. Its totient is φ = 10444446105600.

The previous prime is 45777427660781. The next prime is 45777427660813. The reversal of 45777427660800 is 806672477754.

45777427660800 is a `hidden beast` number, since 4 + 5 + 7 + 77 + 427 + 6 + 60 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1378696999 + ... + 1378730201.

Almost surely, 2^{45777427660800} is an apocalyptic number.

45777427660800 is a gapful number since it is divisible by the number (40) 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 45777427660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94709274669360).

45777427660800 is an abundant number, since it is smaller than the sum of its proper divisors (143641121677920).

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

45777427660800 is a wasteful number, since it uses less digits than its factorization.

45777427660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33277 (or 33241 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 45777427660800 in words is "forty-five trillion, seven hundred seventy-seven billion, four hundred twenty-seven million, six hundred sixty thousand, eight hundred".