27799936320 has 224 divisors, whose sum is σ = 95367823488. Its totient is φ = 6820503552.

The previous prime is 27799936319. The next prime is 27799936327. The reversal of 27799936320 is 2363999772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27799936327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3952647 + ... + 3959673.

It is an arithmetic number, because the mean of its divisors is an integer number (425749212).

Almost surely, 2^27799936320 is an apocalyptic number.

27799936320 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 27799936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47683911744).

27799936320 is an abundant number, since it is smaller than the sum of its proper divisors (67567887168).

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

27799936320 is a wasteful number, since it uses less digits than its factorization.

27799936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 57.

The spelling of 27799936320 in words is "twenty-seven billion, seven hundred ninety-nine million, nine hundred thirty-six thousand, three hundred twenty".