27343768320 has 576 divisors, whose sum is σ = 112106695680. Its totient is φ = 6237388800.

The previous prime is 27343768307. The next prime is 27343768349. The reversal of 27343768320 is 2386734372.

27343768320 is a `hidden beast` number, since 273 + 4 + 376 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×27343768320³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6460605 + ... + 6464835.

It is an arithmetic number, because the mean of its divisors is an integer number (194629680).

Almost surely, 2^27343768320 is an apocalyptic number.

27343768320 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 27343768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56053347840).

27343768320 is an abundant number, since it is smaller than the sum of its proper divisors (84762927360).

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

27343768320 is a wasteful number, since it uses less digits than its factorization.

27343768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 27343768320 in words is "twenty-seven billion, three hundred forty-three million, seven hundred sixty-eight thousand, three hundred twenty".