6765600640 has 64 divisors (see below), whose sum is σ = 16184266560. Its totient is φ = 2704525312.

The previous prime is 6765600637. The next prime is 6765600641. The reversal of 6765600640 is 460065676.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6765600593 and 6765600602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6765600641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1625442 + ... + 1629598.

It is an arithmetic number, because the mean of its divisors is an integer number (252879165).

Almost surely, 2^6765600640 is an apocalyptic number.

It is an amenable number.

6765600640 is an abundant number, since it is smaller than the sum of its proper divisors (9418665920).

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

6765600640 is a wasteful number, since it uses less digits than its factorization.

6765600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 6765600640 is about 82253.2713027269. The cubic root of 6765600640 is about 1891.3364230977.

The spelling of 6765600640 in words is "six billion, seven hundred sixty-five million, six hundred thousand, six hundred forty".