27407862648 has 64 divisors (see below), whose sum is σ = 78758244000. Its totient is φ = 8820919296.

The previous prime is 27407862613. The next prime is 27407862649. The reversal of 27407862648 is 84626870472.

It is a happy number.

27407862648 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 7 + 8 + 626 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27407862594 and 27407862603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27407862649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181465 + ... + 2193992.

Almost surely, 2^27407862648 is an apocalyptic number.

It is an amenable number.

27407862648 is an abundant number, since it is smaller than the sum of its proper divisors (51350381352).

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

27407862648 is a wasteful number, since it uses less digits than its factorization.

27407862648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375501 (or 4375491 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 27407862648 in words is "twenty-seven billion, four hundred seven million, eight hundred sixty-two thousand, six hundred forty-eight".