6766132299795 has 512 divisors, whose sum is σ = 14487492096000. Its totient is φ = 2960423976960.

The previous prime is 6766132299791. The next prime is 6766132299799. The reversal of 6766132299795 is 5979922316676.

6766132299795 is a `hidden beast` number, since 6 + 76 + 61 + 322 + 9 + 97 + 95 = 666.

It is an interprime number because it is at equal distance from previous prime (6766132299791) and next prime (6766132299799).

It is not a de Polignac number, because 6766132299795 - 2² = 6766132299791 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6766132299791) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11037735909 + ... + 11037736521.

It is an arithmetic number, because the mean of its divisors is an integer number (28295883000).

Almost surely, 2^{6766132299795} is an apocalyptic number.

6766132299795 is an abundant number, since it is smaller than the sum of its proper divisors (7721359796205).

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

6766132299795 is a wasteful number, since it uses less digits than its factorization.

6766132299795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its digits is 462944160, while the sum is 72.

The spelling of 6766132299795 in words is "six trillion, seven hundred sixty-six billion, one hundred thirty-two million, two hundred ninety-nine thousand, seven hundred ninety-five".