27972337664 has 40 divisors (see below), whose sum is σ = 55945670550. Its totient is φ = 13985906688.

The previous prime is 27972337661. The next prime is 27972337741. The reversal of 27972337664 is 46673327972.

It can be written as a sum of positive squares in only one way, i.e., 18409062400 + 9563275264 = 135680^2 + 97792^2 .

It is not an unprimeable number, because it can be changed into a prime (27972337661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 497612 + ... + 550964.

Almost surely, 2^27972337664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27972337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27972835275).

27972337664 is an abundant number, since it is smaller than the sum of its proper divisors (27973332886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27972337664 is an frugal number, since it uses more digits than its factorization.

27972337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53391 (or 53355 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 56.

The spelling of 27972337664 in words is "twenty-seven billion, nine hundred seventy-two million, three hundred thirty-seven thousand, six hundred sixty-four".