4545722592000 has 720 divisors, whose sum is σ = 16978557147552. Its totient is φ = 1207714406400.

The previous prime is 4545722591999. The next prime is 4545722592007. The reversal of 4545722592000 is 2952275454.

4545722592000 is a `hidden beast` number, since 4 + 5 + 4 + 57 + 2 + 2 + 592 + 0 + 0 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (4545722592007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 733532902 + ... + 733539098.

Almost surely, 2^{4545722592000} is an apocalyptic number.

4545722592000 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 4545722592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489278573776).

4545722592000 is an abundant number, since it is smaller than the sum of its proper divisors (12432834555552).

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

4545722592000 is an equidigital number, since it uses as much as digits as its factorization.

4545722592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 4545722592000 in words is "four trillion, five hundred forty-five billion, seven hundred twenty-two million, five hundred ninety-two thousand".