45727822800 has 720 divisors, whose sum is σ = 179611361280. Its totient is φ = 10677888000.

The previous prime is 45727822783. The next prime is 45727822801. The reversal of 45727822800 is 822872754.

45727822800 is a `hidden beast` number, since 4 + 572 + 78 + 2 + 2 + 8 + 0 + 0 = 666.

45727822800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 (45727822801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147034645 + ... + 147034955.

It is an arithmetic number, because the mean of its divisors is an integer number (249460224).

Almost surely, 2^45727822800 is an apocalyptic number.

45727822800 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 45727822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89805680640).

45727822800 is an abundant number, since it is smaller than the sum of its proper divisors (133883538480).

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

45727822800 is a wasteful number, since it uses less digits than its factorization.

45727822800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 45727822800 in words is "forty-five billion, seven hundred twenty-seven million, eight hundred twenty-two thousand, eight hundred".