6927298560 has 936 divisors, whose sum is σ = 30590436240. Its totient is φ = 1436811264.

The previous prime is 6927298507. The next prime is 6927298561. The reversal of 6927298560 is 658927296.

6927298560 is a `hidden beast` number, since 6 + 9 + 2 + 72 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6927298497 and 6927298506.

It is not an unprimeable number, because it can be changed into a prime (6927298561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117411811 + ... + 117411869.

It is an arithmetic number, because the mean of its divisors is an integer number (32682090).

Almost surely, 2^6927298560 is an apocalyptic number.

6927298560 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 6927298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15295218120).

6927298560 is an abundant number, since it is smaller than the sum of its proper divisors (23663137680).

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

6927298560 is a wasteful number, since it uses less digits than its factorization.

6927298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 6927298560 is about 83230.3944481822. The cubic root of 6927298560 is about 1906.2856058421.

The spelling of 6927298560 in words is "six billion, nine hundred twenty-seven million, two hundred ninety-eight thousand, five hundred sixty".