37649766794673 has 16 divisors (see below), whose sum is σ = 54763420347072. Its totient is φ = 22817989152000.

The previous prime is 37649766794609. The next prime is 37649766794741.

37649766794673 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 37649766794673 - 2⁶ = 37649766794609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37649766794473) 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, 17880133 + ... + 19874573.

It is an arithmetic number, because the mean of its divisors is an integer number (3422713771692).

Almost surely, 2^{37649766794673} is an apocalyptic number.

37649766794673 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

37649766794673 is a deficient number, since it is larger than the sum of its proper divisors (17113653552399).

37649766794673 is a wasteful number, since it uses less digits than its factorization.

37649766794673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566496.

The product of its digits is 36294822144, while the sum is 84.

The spelling of 37649766794673 in words is "thirty-seven trillion, six hundred forty-nine billion, seven hundred sixty-six million, seven hundred ninety-four thousand, six hundred seventy-three".