6764914240 has 224 divisors, whose sum is σ = 19525146624. Its totient is φ = 2183086080.

The previous prime is 6764914231. The next prime is 6764914279. The reversal of 6764914240 is 424194676.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 2567964 + ... + 2570596.

Almost surely, 2^6764914240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6764914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762573312).

6764914240 is an abundant number, since it is smaller than the sum of its proper divisors (12760232384).

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

6764914240 is a wasteful number, since it uses less digits than its factorization.

6764914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 6764914240 is about 82249.0987184662. The cubic root of 6764914240 is about 1891.2724594628.

The spelling of 6764914240 in words is "six billion, seven hundred sixty-four million, nine hundred fourteen thousand, two hundred forty".