6756878520 has 192 divisors, whose sum is σ = 26200346400. Its totient is φ = 1544417280.

The previous prime is 6756878507. The next prime is 6756878537. The reversal of 6756878520 is 258786576.

6756878520 is a `hidden beast` number, since 6 + 7 + 568 + 78 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10921 + ... + 116760.

Almost surely, 2^6756878520 is an apocalyptic number.

6756878520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6756878520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100173200).

6756878520 is an abundant number, since it is smaller than the sum of its proper divisors (19443467880).

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

6756878520 is a wasteful number, since it uses less digits than its factorization.

6756878520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127715 (or 127698 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 6756878520 is about 82200.2343062354. The cubic root of 6756878520 is about 1890.5233118798.

The spelling of 6756878520 in words is "six billion, seven hundred fifty-six million, eight hundred seventy-eight thousand, five hundred twenty".