6761166464 has 64 divisors (see below), whose sum is σ = 14973665280. Its totient is φ = 3019852800.

The previous prime is 6761166449. The next prime is 6761166481. The reversal of 6761166464 is 4646611676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13952 + ... + 117119.

It is an arithmetic number, because the mean of its divisors is an integer number (233963520).

Almost surely, 2^6761166464 is an apocalyptic number.

6761166464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6761166464 is an abundant number, since it is smaller than the sum of its proper divisors (8212498816).

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

6761166464 is a wasteful number, since it uses less digits than its factorization.

6761166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131129 (or 131117 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 6761166464 is about 82226.3124796436. The cubic root of 6761166464 is about 1890.9231387068.

The spelling of 6761166464 in words is "six billion, seven hundred sixty-one million, one hundred sixty-six thousand, four hundred sixty-four".