45567590400 has 540 divisors, whose sum is σ = 167335039872. Its totient is φ = 11847598080.

The previous prime is 45567590377. The next prime is 45567590407. The reversal of 45567590400 is 409576554.

45567590400 is a `hidden beast` number, since 4 + 5 + 56 + 7 + 590 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45567590407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173260669 + ... + 173260931.

Almost surely, 2^45567590400 is an apocalyptic number.

45567590400 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 45567590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83667519936).

45567590400 is an abundant number, since it is smaller than the sum of its proper divisors (121767449472).

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

45567590400 is a wasteful number, since it uses less digits than its factorization.

45567590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 45567590400 in words is "forty-five billion, five hundred sixty-seven million, five hundred ninety thousand, four hundred".