37628699682673 has 24 divisors (see below), whose sum is σ = 41834420739720. Its totient is φ = 33816090316800.

The previous prime is 37628699682649. The next prime is 37628699682689.

37628699682673 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1692895038769 + 35935804643904 = 1301113^2 + 5994648^2 .

It is not a de Polignac number, because 37628699682673 - 2¹³ = 37628699674481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37628699682173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48734361 + ... + 49500457.

It is an arithmetic number, because the mean of its divisors is an integer number (1743100864155).

Almost surely, 2^{37628699682673} is an apocalyptic number.

It is an amenable number.

37628699682673 is a deficient number, since it is larger than the sum of its proper divisors (4205721057047).

37628699682673 is a wasteful number, since it uses less digits than its factorization.

37628699682673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770769 (or 770758 counting only the distinct ones).

The product of its digits is 11851370496, while the sum is 82.

The spelling of 37628699682673 in words is "thirty-seven trillion, six hundred twenty-eight billion, six hundred ninety-nine million, six hundred eighty-two thousand, six hundred seventy-three".