6791410560 has 768 divisors, whose sum is σ = 26255093760. Its totient is φ = 1486848000.

The previous prime is 6791410553. The next prime is 6791410573. The reversal of 6791410560 is 650141976.

It is a super-2 number, since 2×6791410560² = 92246514788959027200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165644140 + ... + 165644180.

It is an arithmetic number, because the mean of its divisors is an integer number (34186320).

Almost surely, 2^6791410560 is an apocalyptic number.

6791410560 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 6791410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127546880).

6791410560 is an abundant number, since it is smaller than the sum of its proper divisors (19463683200).

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

6791410560 is a wasteful number, since it uses less digits than its factorization.

6791410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 6791410560 is about 82410.0149253718. The cubic root of 6791410560 is about 1893.7384418251.

The spelling of 6791410560 in words is "six billion, seven hundred ninety-one million, four hundred ten thousand, five hundred sixty".