2627973664 has 72 divisors (see below), whose sum is σ = 5407349724. Its totient is φ = 1257062400.

The previous prime is 2627973599. The next prime is 2627973709. The reversal of 2627973664 is 4663797262.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2522048400 + 105925264 = 50220^2 + 10292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2982504 + ... + 2983384.

Almost surely, 2^2627973664 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 2627973664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703674862).

2627973664 is an abundant number, since it is smaller than the sum of its proper divisors (2779376060).

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

2627973664 is an equidigital number, since it uses as much as digits as its factorization.

2627973664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1011 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 52.

The square root of 2627973664 is about 51263.7656049573. The cubic root of 2627973664 is about 1379.9827877150.

The spelling of 2627973664 in words is "two billion, six hundred twenty-seven million, nine hundred seventy-three thousand, six hundred sixty-four".