4517793792000 has 1792 divisors, whose sum is σ = 18102271683600. Its totient is φ = 1121137459200.

The previous prime is 4517793791999. The next prime is 4517793792007. The reversal of 4517793792000 is 2973977154.

4517793792000 is a `hidden beast` number, since 4 + 517 + 7 + 9 + 37 + 92 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 117062516736 + 4400731275264 = 342144^2 + 2097792^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4517793792007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50761727956 + ... + 50761728044.

Almost surely, 2^{4517793792000} is an apocalyptic number.

4517793792000 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 4517793792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051135841800).

4517793792000 is an abundant number, since it is smaller than the sum of its proper divisors (13584477891600).

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

4517793792000 is an frugal number, since it uses more digits than its factorization.

4517793792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 4517793792000 in words is "four trillion, five hundred seventeen billion, seven hundred ninety-three million, seven hundred ninety-two thousand".