45627040200 has 192 divisors, whose sum is σ = 164063784960. Its totient is φ = 10273317120.

The previous prime is 45627040189. The next prime is 45627040201. The reversal of 45627040200 is 204072654.

45627040200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45627040201) 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, 200329 + ... + 362471.

It is an arithmetic number, because the mean of its divisors is an integer number (854498880).

Almost surely, 2^45627040200 is an apocalyptic number.

45627040200 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 45627040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82031892480).

45627040200 is an abundant number, since it is smaller than the sum of its proper divisors (118436744760).

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

45627040200 is a wasteful number, since it uses less digits than its factorization.

45627040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162236 (or 162227 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 45627040200 in words is "forty-five billion, six hundred twenty-seven million, forty thousand, two hundred".