27674895360 has 1056 divisors, whose sum is σ = 115001966592. Its totient is φ = 5547294720.

The previous prime is 27674895319. The next prime is 27674895419. The reversal of 27674895360 is 6359847672.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 27674895360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 892738545 + ... + 892738575.

Almost surely, 2^27674895360 is an apocalyptic number.

27674895360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27674895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57500983296).

27674895360 is an abundant number, since it is smaller than the sum of its proper divisors (87327071232).

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

27674895360 is a wasteful number, since it uses less digits than its factorization.

27674895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 27674895360 in words is "twenty-seven billion, six hundred seventy-four million, eight hundred ninety-five thousand, three hundred sixty".