37645700625 has 135 divisors (see below), whose sum is σ = 73950218199. Its totient is φ = 18440136000.

The previous prime is 37645700569. The next prime is 37645700627. The reversal of 37645700625 is 52600754673.

The square root of 37645700625 is 194025.

It is a perfect power (a square), and thus also a powerful number.

37645700625 is a `hidden beast` number, since 3 + 76 + 4 + 570 + 0 + 6 + 2 + 5 = 666.

37645700625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 37183794561 + 461906064 = 192831^2 + 21492^2 .

It is not a de Polignac number, because 37645700625 - 2¹⁷ = 37645569553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (37645700627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 189174276 + ... + 189174474.

Almost surely, 2^37645700625 is an apocalyptic number.

37645700625 is the 194025-th square number.

37645700625 is the 97013-rd centered octagonal number.

It is an amenable number.

37645700625 is a deficient number, since it is larger than the sum of its proper divisors (36304517574).

37645700625 is an equidigital number, since it uses as much as digits as its factorization.

37645700625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 37645700625 in words is "thirty-seven billion, six hundred forty-five million, seven hundred thousand, six hundred twenty-five".