6402736511160 has 256 divisors, whose sum is σ = 22286533570560. Its totient is φ = 1454321786880.

The previous prime is 6402736511147. The next prime is 6402736511179. The reversal of 6402736511160 is 611156372046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4364374 + ... + 5643866.

It is an arithmetic number, because the mean of its divisors is an integer number (87056771760).

Almost surely, 2^{6402736511160} is an apocalyptic number.

6402736511160 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 6402736511160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11143266785280).

6402736511160 is an abundant number, since it is smaller than the sum of its proper divisors (15883797059400).

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

6402736511160 is a wasteful number, since it uses less digits than its factorization.

6402736511160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279758 (or 1279754 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 6402736511160 in words is "six trillion, four hundred two billion, seven hundred thirty-six million, five hundred eleven thousand, one hundred sixty".