6986933973120 has 512 divisors, whose sum is σ = 22721394009600. Its totient is φ = 1825988935680.

The previous prime is 6986933973091. The next prime is 6986933973163. The reversal of 6986933973120 is 213793396896.

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, 11072795205 + ... + 11072795835.

It is an arithmetic number, because the mean of its divisors is an integer number (44377722675).

Almost surely, 2^{6986933973120} is an apocalyptic number.

6986933973120 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 6986933973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360697004800).

6986933973120 is an abundant number, since it is smaller than the sum of its proper divisors (15734460036480).

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

6986933973120 is a wasteful number, since it uses less digits than its factorization.

6986933973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 66.

The spelling of 6986933973120 in words is "six trillion, nine hundred eighty-six billion, nine hundred thirty-three million, nine hundred seventy-three thousand, one hundred twenty".