6797734560 has 576 divisors, whose sum is σ = 25474176000. Its totient is φ = 1646346240.

The previous prime is 6797734543. The next prime is 6797734561. The reversal of 6797734560 is 654377976.

6797734560 is a `hidden beast` number, since 6 + 7 + 9 + 7 + 73 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6797734497 and 6797734506.

It is not an unprimeable number, because it can be changed into a prime (6797734561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76378996 + ... + 76379084.

It is an arithmetic number, because the mean of its divisors is an integer number (44226000).

Almost surely, 2^6797734560 is an apocalyptic number.

6797734560 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 6797734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088000).

6797734560 is an abundant number, since it is smaller than the sum of its proper divisors (18676441440).

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

6797734560 is a wasteful number, since it uses less digits than its factorization.

6797734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 6797734560 is about 82448.3751204352. The cubic root of 6797734560 is about 1894.3260608706.

The spelling of 6797734560 in words is "six billion, seven hundred ninety-seven million, seven hundred thirty-four thousand, five hundred sixty".