27961849344 has 480 divisors, whose sum is σ = 89968741632. Its totient is φ = 7664025600.

The previous prime is 27961849337. The next prime is 27961849367. The reversal of 27961849344 is 44394816972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171545007 + ... + 171545169.

Almost surely, 2^27961849344 is an apocalyptic number.

27961849344 is a gapful number since it is divisible by the number (24) 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 27961849344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44984370816).

27961849344 is an abundant number, since it is smaller than the sum of its proper divisors (62006892288).

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

27961849344 is a wasteful number, since it uses less digits than its factorization.

27961849344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 263 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 27961849344 in words is "twenty-seven billion, nine hundred sixty-one million, eight hundred forty-nine thousand, three hundred forty-four".