27680640625 has 49 divisors (see below), whose sum is σ = 38060391727. Its totient is φ = 20131375000.

The previous prime is 27680640607. The next prime is 27680640653. The reversal of 27680640625 is 52604608672.

The square root of 27680640625 is 166375.

The cubic root of 27680640625 is 3025.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 24250898529 + 3429742096 = 155727^2 + 58564^2 .

It is not a de Polignac number, because 27680640625 - 2¹³ = 27680632433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 2516421870 + ... + 2516421880.

Almost surely, 2^27680640625 is an apocalyptic number.

27680640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27680640625 is the 166375-th square number.

27680640625 is the 83188-th centered octagonal number.

It is an amenable number.

27680640625 is a deficient number, since it is larger than the sum of its proper divisors (10379751102).

27680640625 is an frugal number, since it uses more digits than its factorization.

27680640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 27680640625 in words is "twenty-seven billion, six hundred eighty million, six hundred forty thousand, six hundred twenty-five".