6756840000 has 315 divisors, whose sum is σ = 24379271917. Its totient is φ = 1788672000.

The previous prime is 6756839993. The next prime is 6756840017. The reversal of 6756840000 is 486576.

It is a happy number.

The square root of 6756840000 is 82200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4668715584 + 2088124416 = 68328^2 + 45696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49319932 + ... + 49320068.

Almost surely, 2^6756840000 is an apocalyptic number.

6756840000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6756840000 is the 82200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6756840000

6756840000 is an abundant number, since it is smaller than the sum of its proper divisors (17622431917).

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

6756840000 is an equidigital number, since it uses as much as digits as its factorization.

6756840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 6756840000 is about 1890.5197193384.

Multiplying 6756840000 by its sum of digits (36), we get a square (243246240000 = 493200²).

6756840000 divided by its sum of digits (36) gives a square (187690000 = 13700²).

The spelling of 6756840000 in words is "six billion, seven hundred fifty-six million, eight hundred forty thousand".