45720576000 has 1008 divisors, whose sum is σ = 185593308264. Its totient is φ = 10813440000.

The previous prime is 45720575969. The next prime is 45720576001. The reversal of 45720576000 is 67502754.

45720576000 is a `hidden beast` number, since 45 + 7 + 2 + 0 + 5 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3751317504 + 41969258496 = 61248^2 + 204864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45720576001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1115135980 + ... + 1115136020.

Almost surely, 2^45720576000 is an apocalyptic number.

45720576000 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 45720576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92796654132).

45720576000 is an abundant number, since it is smaller than the sum of its proper divisors (139872732264).

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

45720576000 is a wasteful number, since it uses less digits than its factorization.

45720576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 45720576000 in words is "forty-five billion, seven hundred twenty million, five hundred seventy-six thousand".