27290349648 has 120 divisors (see below), whose sum is σ = 80458466400. Its totient is φ = 8611183872.

The previous prime is 27290349613. The next prime is 27290349659. The reversal of 27290349648 is 84694309272.

27290349648 is a `hidden beast` number, since 2 + 7 + 290 + 349 + 6 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27290349594 and 27290349603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4316986 + ... + 4323302.

It is an arithmetic number, because the mean of its divisors is an integer number (670487220).

Almost surely, 2^27290349648 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 27290349648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40229233200).

27290349648 is an abundant number, since it is smaller than the sum of its proper divisors (53168116752).

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

27290349648 is a wasteful number, since it uses less digits than its factorization.

27290349648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7929 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 27290349648 in words is "twenty-seven billion, two hundred ninety million, three hundred forty-nine thousand, six hundred forty-eight".