6786164097000 has 128 divisors (see below), whose sum is σ = 23525368963200. Its totient is φ = 1809643752000.

The previous prime is 6786164096989. The next prime is 6786164097023. The reversal of 6786164097000 is 7904616876.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125642706 + ... + 125696705.

It is an arithmetic number, because the mean of its divisors is an integer number (183791945025).

Almost surely, 2^{6786164097000} is an apocalyptic number.

6786164097000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6786164097000 is an abundant number, since it is smaller than the sum of its proper divisors (16739204866200).

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

6786164097000 is a wasteful number, since it uses less digits than its factorization.

6786164097000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251339441 (or 251339421 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

It can be divided in two parts, 6786 and 164097000, that added together give a triangular number (164103786 = T₁₈₁₁₆).

The spelling of 6786164097000 in words is "six trillion, seven hundred eighty-six billion, one hundred sixty-four million, ninety-seven thousand".