37648560641 has 8 divisors (see below), whose sum is σ = 39036746280. Its totient is φ = 36266372352.

The previous prime is 37648560619. The next prime is 37648560673. The reversal of 37648560641 is 14606584673.

It can be written as a sum of positive squares in 4 ways, for example, as 204375616 + 37444185025 = 14296^2 + 193505^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37648560641 - 2¹⁰ = 37648559617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 37648560641.

It is not an unprimeable number, because it can be changed into a prime (37648560041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486550 + ... + 1511663.

It is an arithmetic number, because the mean of its divisors is an integer number (4879593285).

Almost surely, 2^37648560641 is an apocalyptic number.

It is an amenable number.

37648560641 is a deficient number, since it is larger than the sum of its proper divisors (1388185639).

37648560641 is a wasteful number, since it uses less digits than its factorization.

37648560641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998675.

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 37648560641 in words is "thirty-seven billion, six hundred forty-eight million, five hundred sixty thousand, six hundred forty-one".