6747564960 has 72 divisors (see below), whose sum is σ = 23026070340. Its totient is φ = 1799350272.

The previous prime is 6747564919. The next prime is 6747564961. The reversal of 6747564960 is 694657476.

6747564960 is a `hidden beast` number, since 6 + 74 + 7 + 564 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6547399056 + 200165904 = 80916^2 + 14148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 6747564897 and 6747564906.

It is not an unprimeable number, because it can be changed into a prime (6747564961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2341465 + ... + 2344344.

Almost surely, 2^6747564960 is an apocalyptic number.

6747564960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6747564960 is an abundant number, since it is smaller than the sum of its proper divisors (16278505380).

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

6747564960 is a wasteful number, since it uses less digits than its factorization.

6747564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685830 (or 4685819 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 6747564960 is about 82143.5631075254. The cubic root of 6747564960 is about 1889.6542913500.

The spelling of 6747564960 in words is "six billion, seven hundred forty-seven million, five hundred sixty-four thousand, nine hundred sixty".