6756676042000 has 160 divisors (see below), whose sum is σ = 16784990557920. Its totient is φ = 2628717926400.

The previous prime is 6756676041991. The next prime is 6756676042001. The reversal of 6756676042000 is 2406766576.

It can be written as a sum of positive squares in 16 ways, for example, as 4381218314496 + 2375457727504 = 2093136^2 + 1541252^2 .

It is a super-2 number, since 2×6756676042000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6756676042001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238931862 + ... + 238960138.

It is an arithmetic number, because the mean of its divisors is an integer number (104906190987).

Almost surely, 2^{6756676042000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6756676042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392495278960).

6756676042000 is an abundant number, since it is smaller than the sum of its proper divisors (10028314515920).

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

6756676042000 is a wasteful number, since it uses less digits than its factorization.

6756676042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31566 (or 31550 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 6756676042000 in words is "six trillion, seven hundred fifty-six billion, six hundred seventy-six million, forty-two thousand".