27658048664464 has 45 divisors (see below), whose sum is σ = 55500255977907. Its totient is φ = 13351866915072.

The previous prime is 27658048664413. The next prime is 27658048664483. The reversal of 27658048664464 is 46446684085672.

The square root of 27658048664464 is 5259092.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1421197779600 + 26236850884864 = 1192140^2 + 5122192^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27658048664393 and 27658048664402.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 610032004 + ... + 610077340.

Almost surely, 2^{27658048664464} is an apocalyptic number.

27658048664464 is the 5259092-nd square number.

It is an amenable number.

27658048664464 is an abundant number, since it is smaller than the sum of its proper divisors (27842207313443).

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

27658048664464 is an frugal number, since it uses more digits than its factorization.

27658048664464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90740 (or 45368 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 70.

The spelling of 27658048664464 in words is "twenty-seven trillion, six hundred fifty-eight billion, forty-eight million, six hundred sixty-four thousand, four hundred sixty-four".