6736733673667 has 16 divisors (see below), whose sum is σ = 7256605312000. Its totient is φ = 6233408776224.

The previous prime is 6736733673661. The next prime is 6736733673673. The reversal of 6736733673667 is 7663763376376.

It is an interprime number because it is at equal distance from previous prime (6736733673661) and next prime (6736733673673).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6736733673667 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6736733673596 and 6736733673605.

It is not an unprimeable number, because it can be changed into a prime (6736733673661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15561934 + ... + 15988972.

It is an arithmetic number, because the mean of its divisors is an integer number (453537832000).

Almost surely, 2^{6736733673667} is an apocalyptic number.

6736733673667 is a deficient number, since it is larger than the sum of its proper divisors (519871638333).

6736733673667 is a wasteful number, since it uses less digits than its factorization.

6736733673667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446410.

The product of its digits is 1512284256, while the sum is 70.

The spelling of 6736733673667 in words is "six trillion, seven hundred thirty-six billion, seven hundred thirty-three million, six hundred seventy-three thousand, six hundred sixty-seven".