6327964992 has 112 divisors (see below), whose sum is σ = 17005076480. Its totient is φ = 2076544512.

The previous prime is 6327964987. The next prime is 6327965009. The reversal of 6327964992 is 2994697236.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3388443 + ... + 3390309.

It is an arithmetic number, because the mean of its divisors is an integer number (151831040).

Almost surely, 2^6327964992 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 6327964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502538240).

6327964992 is an abundant number, since it is smaller than the sum of its proper divisors (10677111488).

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

6327964992 is a wasteful number, since it uses less digits than its factorization.

6327964992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2138 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 57.

The square root of 6327964992 is about 79548.5071638683. The cubic root of 6327964992 is about 1849.6434659409.

It can be divided in two parts, 63279 and 64992, that added together give a triangular number (128271 = T₅₀₆).

The spelling of 6327964992 in words is "six billion, three hundred twenty-seven million, nine hundred sixty-four thousand, nine hundred ninety-two".