6891768720 has 480 divisors, whose sum is σ = 25972337664. Its totient is φ = 1629388800.

The previous prime is 6891768677. The next prime is 6891768731. The reversal of 6891768720 is 278671986.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15556819 + ... + 15557261.

Almost surely, 2^6891768720 is an apocalyptic number.

6891768720 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 6891768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986168832).

6891768720 is an abundant number, since it is smaller than the sum of its proper divisors (19080568944).

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

6891768720 is a wasteful number, since it uses less digits than its factorization.

6891768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 6891768720 is about 83016.6773606364. The cubic root of 6891768720 is about 1903.0209302051.

The spelling of 6891768720 in words is "six billion, eight hundred ninety-one million, seven hundred sixty-eight thousand, seven hundred twenty".