6800970960 has 960 divisors, whose sum is σ = 29712384000. Its totient is φ = 1358622720.

The previous prime is 6800970949. The next prime is 6800971003. The reversal of 6800970960 is 690790086.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86088201 + ... + 86088279.

It is an arithmetic number, because the mean of its divisors is an integer number (30950400).

Almost surely, 2^6800970960 is an apocalyptic number.

6800970960 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 6800970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856192000).

6800970960 is an abundant number, since it is smaller than the sum of its proper divisors (22911413040).

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

6800970960 is a wasteful number, since it uses less digits than its factorization.

6800970960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6800970960 is about 82467.9996119707. Note that the first 3 decimals coincide. The cubic root of 6800970960 is about 1894.6266425869.

The spelling of 6800970960 in words is "six billion, eight hundred million, nine hundred seventy thousand, nine hundred sixty".