36672623334401 has 16 divisors (see below), whose sum is σ = 37634727874560. Its totient is φ = 35718491849040.

The previous prime is 36672623334379. The next prime is 36672623334443. The reversal of 36672623334401 is 10443332627663.

It is a cyclic number.

It is not a de Polignac number, because 36672623334401 - 2²² = 36672619140097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36672623334401.

It is not an unprimeable number, because it can be changed into a prime (36672623334301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6354920 + ... + 10664438.

It is an arithmetic number, because the mean of its divisors is an integer number (2352170492160).

Almost surely, 2^{36672623334401} is an apocalyptic number.

It is an amenable number.

36672623334401 is a deficient number, since it is larger than the sum of its proper divisors (962104540159).

36672623334401 is a wasteful number, since it uses less digits than its factorization.

36672623334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310444.

The product of its (nonzero) digits is 7838208, while the sum is 50.

The spelling of 36672623334401 in words is "thirty-six trillion, six hundred seventy-two billion, six hundred twenty-three million, three hundred thirty-four thousand, four hundred one".