6791568000 has 1024 divisors, whose sum is σ = 28870732800. Its totient is φ = 1376256000.

The previous prime is 6791567989. The next prime is 6791568001. The reversal of 6791568000 is 8651976.

It is a super-2 number, since 2×6791568000² = 92250791797248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6791568001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165647980 + ... + 165648020.

It is an arithmetic number, because the mean of its divisors is an integer number (28194075).

Almost surely, 2^6791568000 is an apocalyptic number.

6791568000 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 6791568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435366400).

6791568000 is an abundant number, since it is smaller than the sum of its proper divisors (22079164800).

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

6791568000 is a wasteful number, since it uses less digits than its factorization.

6791568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 6791568000 is about 82410.9701435434. The cubic root of 6791568000 is about 1893.7530754016.

The spelling of 6791568000 in words is "six billion, seven hundred ninety-one million, five hundred sixty-eight thousand".