4593991680000 has 1440 divisors, whose sum is σ = 17820019768320. Its totient is φ = 1167851520000.

The previous prime is 4593991679929. The next prime is 4593991680007. The reversal of 4593991680000 is 861993954.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4593991680000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4593991680007) 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, 68567039967 + ... + 68567040033.

It is an arithmetic number, because the mean of its divisors is an integer number (12375013728).

Almost surely, 2^{4593991680000} is an apocalyptic number.

4593991680000 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 4593991680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910009884160).

4593991680000 is an abundant number, since it is smaller than the sum of its proper divisors (13226028088320).

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

4593991680000 is an frugal number, since it uses more digits than its factorization.

4593991680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 4593991680000 in words is "four trillion, five hundred ninety-three billion, nine hundred ninety-one million, six hundred eighty thousand".