6756956640 has 144 divisors (see below), whose sum is σ = 26352170208. Its totient is φ = 1544444928.

The previous prime is 6756956639. The next prime is 6756956677. The reversal of 6756956640 is 466596576.

6756956640 is a `hidden beast` number, since 6 + 75 + 6 + 9 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325087 + ... + 345246.

It is an arithmetic number, because the mean of its divisors is an integer number (183001182).

Almost surely, 2^6756956640 is an apocalyptic number.

6756956640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6756956640 is an abundant number, since it is smaller than the sum of its proper divisors (19595213568).

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

6756956640 is a wasteful number, since it uses less digits than its factorization.

6756956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670361 (or 670350 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The square root of 6756956640 is about 82200.7094859892. The cubic root of 6756956640 is about 1890.5305976460.

The spelling of 6756956640 in words is "six billion, seven hundred fifty-six million, nine hundred fifty-six thousand, six hundred forty".