6406879333504 has 64 divisors (see below), whose sum is σ = 14554088934840. Its totient is φ = 2783078793216.

The previous prime is 6406879333489. The next prime is 6406879333511. The reversal of 6406879333504 is 4053339786046.

It can be written as a sum of positive squares in 4 ways, for example, as 5608143895104 + 798735438400 = 2368152^2 + 893720^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113215479 + ... + 113272054.

Almost surely, 2^{6406879333504} is an apocalyptic number.

6406879333504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6406879333504 is an abundant number, since it is smaller than the sum of its proper divisors (8147209601336).

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

6406879333504 is a wasteful number, since it uses less digits than its factorization.

6406879333504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226487577 (or 226487565 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 58.

The spelling of 6406879333504 in words is "six trillion, four hundred six billion, eight hundred seventy-nine million, three hundred thirty-three thousand, five hundred four".