37625879808001 has 16 divisors (see below), whose sum is σ = 40619426500800. Its totient is φ = 34735681094400.

The previous prime is 37625879807981. The next prime is 37625879808059. The reversal of 37625879808001 is 10080897852673.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 37625879808001 - 2⁵ = 37625879807969 is a prime.

It is a super-2 number, since 2×37625879808001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37625879808071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27445060 + ... + 28783381.

It is an arithmetic number, because the mean of its divisors is an integer number (2538714156300).

Almost surely, 2^{37625879808001} is an apocalyptic number.

It is an amenable number.

37625879808001 is a deficient number, since it is larger than the sum of its proper divisors (2993546692799).

37625879808001 is a wasteful number, since it uses less digits than its factorization.

37625879808001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56229360.

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 37625879808001 in words is "thirty-seven trillion, six hundred twenty-five billion, eight hundred seventy-nine million, eight hundred eight thousand, one".