37664566546673 has 8 divisors (see below), whose sum is σ = 42090779467296. Its totient is φ = 33405380528800.

The previous prime is 37664566546631. The next prime is 37664566546693.

37664566546673 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37664566546673 - 2¹⁰ = 37664566545649 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 37664566546673.

It is not an unprimeable number, because it can be changed into a prime (37664566546693) 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 7 ways as a sum of consecutive naturals, for example, 41756725211 + ... + 41756726112.

It is an arithmetic number, because the mean of its divisors is an integer number (5261347433412).

Almost surely, 2^{37664566546673} is an apocalyptic number.

It is an amenable number.

37664566546673 is a deficient number, since it is larger than the sum of its proper divisors (4426212920623).

37664566546673 is a wasteful number, since it uses less digits than its factorization.

37664566546673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83513451375.

The product of its digits is 8230118400, while the sum is 74.

The spelling of 37664566546673 in words is "thirty-seven trillion, six hundred sixty-four billion, five hundred sixty-six million, five hundred forty-six thousand, six hundred seventy-three".