37628055082673 has 4 divisors (see below), whose sum is σ = 41048787362928. Its totient is φ = 34207322802420.

The previous prime is 37628055082621. The next prime is 37628055082697.

37628055082673 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 37628055082673 - 2²² = 37628050888369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37628055082273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1710366140111 + ... + 1710366140132.

It is an arithmetic number, because the mean of its divisors is an integer number (10262196840732).

Almost surely, 2^{37628055082673} is an apocalyptic number.

It is an amenable number.

37628055082673 is a deficient number, since it is larger than the sum of its proper divisors (3420732280255).

37628055082673 is a wasteful number, since it uses less digits than its factorization.

37628055082673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420732280254.

The product of its (nonzero) digits is 101606400, while the sum is 62.

The spelling of 37628055082673 in words is "thirty-seven trillion, six hundred twenty-eight billion, fifty-five million, eighty-two thousand, six hundred seventy-three".