4500343706364 has 576 divisors, whose sum is σ = 13599813427200. Its totient is φ = 1288002228480.

The previous prime is 4500343706293. The next prime is 4500343706377. The reversal of 4500343706364 is 4636073430054.

4500343706364 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 3 + 4 + 3 + 7 + 0 + 636 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9636710059 + ... + 9636710525.

It is an arithmetic number, because the mean of its divisors is an integer number (23610787200).

Almost surely, 2^{4500343706364} is an apocalyptic number.

4500343706364 is a gapful number since it is divisible by the number (44) 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 4500343706364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799906713600).

4500343706364 is an abundant number, since it is smaller than the sum of its proper divisors (9099469720836).

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

4500343706364 is a wasteful number, since it uses less digits than its factorization.

4500343706364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 4500343706364 in words is "four trillion, five hundred billion, three hundred forty-three million, seven hundred six thousand, three hundred sixty-four".