6801264416 has 48 divisors (see below), whose sum is σ = 13599321624. Its totient is φ = 3347841024.

The previous prime is 6801264413. The next prime is 6801264493. The reversal of 6801264416 is 6144621086.

It can be written as a sum of positive squares in 4 ways, for example, as 4173676816 + 2627587600 = 64604^2 + 51260^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6801264416.

It is not an unprimeable number, because it can be changed into a prime (6801264413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593396 + ... + 604748.

Almost surely, 2^6801264416 is an apocalyptic number.

It is an amenable number.

6801264416 is a deficient number, since it is larger than the sum of its proper divisors (6798057208).

6801264416 is a wasteful number, since it uses less digits than its factorization.

6801264416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11653 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 6801264416 is about 82469.7788041171. The cubic root of 6801264416 is about 1894.6538926939.

The spelling of 6801264416 in words is "six billion, eight hundred one million, two hundred sixty-four thousand, four hundred sixteen".