6756238004880 has 640 divisors, whose sum is σ = 26255319552000. Its totient is φ = 1399175700480.

The previous prime is 6756238004839. The next prime is 6756238004897. The reversal of 6756238004880 is 884008326576.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6756238004880.

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 127 ways as a sum of consecutive naturals, for example, 664782679 + ... + 664792841.

It is an arithmetic number, because the mean of its divisors is an integer number (41023936800).

Almost surely, 2^{6756238004880} is an apocalyptic number.

6756238004880 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 6756238004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127659776000).

6756238004880 is an abundant number, since it is smaller than the sum of its proper divisors (19499081547120).

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

6756238004880 is a wasteful number, since it uses less digits than its factorization.

6756238004880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 6756238004880 in words is "six trillion, seven hundred fifty-six billion, two hundred thirty-eight million, four thousand, eight hundred eighty".