6420133611264 has 144 divisors (see below), whose sum is σ = 17833994841600. Its totient is φ = 2046520700928.

The previous prime is 6420133611259. The next prime is 6420133611271. The reversal of 6420133611264 is 4621163310246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79783402 + ... + 79863830.

It is an arithmetic number, because the mean of its divisors is an integer number (123847186400).

Almost surely, 2^{6420133611264} is an apocalyptic number.

6420133611264 is a gapful number since it is divisible by the number (64) 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 6420133611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916997420800).

6420133611264 is an abundant number, since it is smaller than the sum of its proper divisors (11413861230336).

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

6420133611264 is a wasteful number, since it uses less digits than its factorization.

6420133611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84990 (or 84976 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 6420133611264 in words is "six trillion, four hundred twenty billion, one hundred thirty-three million, six hundred eleven thousand, two hundred sixty-four".