6514800636160 has 144 divisors (see below), whose sum is σ = 15922809088704. Its totient is φ = 2552990375936.

The previous prime is 6514800636143. The next prime is 6514800636191. The reversal of 6514800636160 is 616360084156.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6514800636160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46264419 + ... + 46405021.

It is an arithmetic number, because the mean of its divisors is an integer number (110575063116).

Almost surely, 2^{6514800636160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6514800636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7961404544352).

6514800636160 is an abundant number, since it is smaller than the sum of its proper divisors (9408008452544).

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

6514800636160 is a wasteful number, since it uses less digits than its factorization.

6514800636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141360 (or 141346 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 6514800636160 in words is "six trillion, five hundred fourteen billion, eight hundred million, six hundred thirty-six thousand, one hundred sixty".