6775464960 has 264 divisors, whose sum is σ = 25612981056. Its totient is φ = 1642414080.

The previous prime is 6775464889. The next prime is 6775464991. The reversal of 6775464960 is 694645776.

6775464960 is a `hidden beast` number, since 6 + 7 + 7 + 546 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 6775464897 and 6775464906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500197 + ... + 513563.

Almost surely, 2^6775464960 is an apocalyptic number.

6775464960 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 6775464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806490528).

6775464960 is an abundant number, since it is smaller than the sum of its proper divisors (18837516096).

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

6775464960 is a wasteful number, since it uses less digits than its factorization.

6775464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13409 (or 13388 counting only the distinct ones).

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

The square root of 6775464960 is about 82313.2125481687. The cubic root of 6775464960 is about 1892.2551731485.

The spelling of 6775464960 in words is "six billion, seven hundred seventy-five million, four hundred sixty-four thousand, nine hundred sixty".