6756860255040 has 784 divisors, whose sum is σ = 27902583451008. Its totient is φ = 1525787062272.

The previous prime is 6756860255009. The next prime is 6756860255051. The reversal of 6756860255040 is 405520686576.

6756860255040 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 86 + 0 + 2 + 550 + 4 + 0 = 666.

It is a super-2 number, since 2×6756860255040² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 135510754 + ... + 135560606.

It is an arithmetic number, because the mean of its divisors is an integer number (35590029912).

Almost surely, 2^{6756860255040} is an apocalyptic number.

6756860255040 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 6756860255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951291725504).

6756860255040 is an abundant number, since it is smaller than the sum of its proper divisors (21145723195968).

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

6756860255040 is an equidigital number, since it uses as much as digits as its factorization.

6756860255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49978 (or 49953 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 6756860255040 in words is "six trillion, seven hundred fifty-six billion, eight hundred sixty million, two hundred fifty-five thousand, forty".