6439949795160 has 384 divisors, whose sum is σ = 25218494769600. Its totient is φ = 1457413171200.

The previous prime is 6439949795119. The next prime is 6439949795173. The reversal of 6439949795160 is 615979499346.

6439949795160 is a `hidden beast` number, since 6 + 4 + 39 + 9 + 4 + 9 + 79 + 516 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4742484 + ... + 5947356.

Almost surely, 2^{6439949795160} is an apocalyptic number.

6439949795160 is a gapful number since it is divisible by the number (60) 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 6439949795160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609247384800).

6439949795160 is an abundant number, since it is smaller than the sum of its proper divisors (18778544974440).

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

6439949795160 is a wasteful number, since it uses less digits than its factorization.

6439949795160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205008 (or 1204991 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 6439949795160 in words is "six trillion, four hundred thirty-nine billion, nine hundred forty-nine million, seven hundred ninety-five thousand, one hundred sixty".