45777427200 has 486 divisors, whose sum is σ = 169318936332. Its totient is φ = 11799244800.

The previous prime is 45777427123. The next prime is 45777427237. The reversal of 45777427200 is 272477754.

45777427200 is a `hidden beast` number, since 4 + 577 + 7 + 4 + 2 + 72 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 55353187 + ... + 55354013.

Almost surely, 2^45777427200 is an apocalyptic number.

45777427200 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 45777427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84659468166).

45777427200 is an abundant number, since it is smaller than the sum of its proper divisors (123541509132).

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

45777427200 is a wasteful number, since it uses less digits than its factorization.

45777427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 45.

The spelling of 45777427200 in words is "forty-five billion, seven hundred seventy-seven million, four hundred twenty-seven thousand, two hundred".