45767207200 has 288 divisors, whose sum is σ = 131910932160. Its totient is φ = 15286579200.

The previous prime is 45767207191. The next prime is 45767207207. The reversal of 45767207200 is 270276754.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45767207207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26196727 + ... + 26198473.

It is an arithmetic number, because the mean of its divisors is an integer number (458024070).

Almost surely, 2^45767207200 is an apocalyptic number.

45767207200 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 45767207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65955466080).

45767207200 is an abundant number, since it is smaller than the sum of its proper divisors (86143724960).

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

45767207200 is a wasteful number, since it uses less digits than its factorization.

45767207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 45767207200 in words is "forty-five billion, seven hundred sixty-seven million, two hundred seven thousand, two hundred".