27764890384 has 135 divisors (see below), whose sum is σ = 68910630453. Its totient is φ = 10797494400.

The previous prime is 27764890379. The next prime is 27764890393. The reversal of 27764890384 is 48309846772.

The square root of 27764890384 is 166628.

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

It can be written as a sum of positive squares in only one way, i.e., 11030880784 + 16734009600 = 105028^2 + 129360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51321154 + ... + 51321694.

Almost surely, 2^27764890384 is an apocalyptic number.

27764890384 is the 166628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27764890384

27764890384 is an abundant number, since it is smaller than the sum of its proper divisors (41145740069).

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

27764890384 is an equidigital number, since it uses as much as digits as its factorization.

27764890384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 27764890384 in words is "twenty-seven billion, seven hundred sixty-four million, eight hundred ninety thousand, three hundred eighty-four".