6439405879296 has 528 divisors, whose sum is σ = 20804115698730. Its totient is φ = 1981355655168.

The previous prime is 6439405879289. The next prime is 6439405879297. The reversal of 6439405879296 is 6929785049346.

6439405879296 is a `hidden beast` number, since 6 + 4 + 39 + 4 + 0 + 587 + 9 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6191736422400 + 247669456896 = 2488320^2 + 497664^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (6439405879297) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 495338913786 + ... + 495338913798.

Almost surely, 2^{6439405879296} 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 6439405879296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402057849365).

6439405879296 is an abundant number, since it is smaller than the sum of its proper divisors (14364709819434).

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

6439405879296 is an frugal number, since it uses more digits than its factorization.

6439405879296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 6439405879296 in words is "six trillion, four hundred thirty-nine billion, four hundred five million, eight hundred seventy-nine thousand, two hundred ninety-six".