6968380648320 has 1280 divisors, whose sum is σ = 30851366515200. Its totient is φ = 1459537035264.

The previous prime is 6968380648291. The next prime is 6968380648343. The reversal of 6968380648320 is 238460838696.

6968380648320 is a `hidden beast` number, since 69 + 68 + 38 + 0 + 6 + 483 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 655718847 + ... + 655729473.

It is an arithmetic number, because the mean of its divisors is an integer number (24102630090).

Almost surely, 2^{6968380648320} is an apocalyptic number.

6968380648320 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 6968380648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425683257600).

6968380648320 is an abundant number, since it is smaller than the sum of its proper divisors (23882985866880).

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

6968380648320 is a wasteful number, since it uses less digits than its factorization.

6968380648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10817 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 6968380648320 in words is "six trillion, nine hundred sixty-eight billion, three hundred eighty million, six hundred forty-eight thousand, three hundred twenty".