6493679807160 has 512 divisors, whose sum is σ = 24306387517440. Its totient is φ = 1351382482944.

The previous prime is 6493679807143. The next prime is 6493679807171. The reversal of 6493679807160 is 617089763946.

It is a junction number, because it is equal to n+sod(n) for n = 6493679807091 and 6493679807100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234864457 + ... + 234892103.

It is an arithmetic number, because the mean of its divisors is an integer number (47473413120).

Almost surely, 2^{6493679807160} is an apocalyptic number.

6493679807160 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 6493679807160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153193758720).

6493679807160 is an abundant number, since it is smaller than the sum of its proper divisors (17812707710280).

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

6493679807160 is a wasteful number, since it uses less digits than its factorization.

6493679807160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27975 (or 27971 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 6493679807160 in words is "six trillion, four hundred ninety-three billion, six hundred seventy-nine million, eight hundred seven thousand, one hundred sixty".