6968727976320 has 640 divisors, whose sum is σ = 27882843991200. Its totient is φ = 1643724472320.

The previous prime is 6968727976267. The next prime is 6968727976337. The reversal of 6968727976320 is 236797278696.

6968727976320 is a `hidden beast` number, since 6 + 96 + 87 + 2 + 79 + 76 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20933736 + ... + 21264024.

Almost surely, 2^{6968727976320} is an apocalyptic number.

6968727976320 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 6968727976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941421995600).

6968727976320 is an abundant number, since it is smaller than the sum of its proper divisors (20914116014880).

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

6968727976320 is a wasteful number, since it uses less digits than its factorization.

6968727976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330368 (or 330347 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 6968727976320 in words is "six trillion, nine hundred sixty-eight billion, seven hundred twenty-seven million, nine hundred seventy-six thousand, three hundred twenty".