6936053648160 has 768 divisors, whose sum is σ = 28090674339840. Its totient is φ = 1398258892800.

The previous prime is 6936053648119. The next prime is 6936053648213. The reversal of 6936053648160 is 618463506396.

It is a self number, because there is not a number n which added to its sum of digits gives 6936053648160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1055873356 + ... + 1055879924.

It is an arithmetic number, because the mean of its divisors is an integer number (36576398880).

Almost surely, 2^{6936053648160} is an apocalyptic number.

6936053648160 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 6936053648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045337169920).

6936053648160 is an abundant number, since it is smaller than the sum of its proper divisors (21154620691680).

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

6936053648160 is a wasteful number, since it uses less digits than its factorization.

6936053648160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 6936053648160 in words is "six trillion, nine hundred thirty-six billion, fifty-three million, six hundred forty-eight thousand, one hundred sixty".