27334686720 has 384 divisors, whose sum is σ = 99575723520. Its totient is φ = 6336675840.

The previous prime is 27334686719. The next prime is 27334686751. The reversal of 27334686720 is 2768643372.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27334686720.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7770402 + ... + 7773918.

It is an arithmetic number, because the mean of its divisors is an integer number (259311780).

Almost surely, 2^27334686720 is an apocalyptic number.

27334686720 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 27334686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49787861760).

27334686720 is an abundant number, since it is smaller than the sum of its proper divisors (72241036800).

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

27334686720 is a wasteful number, since it uses less digits than its factorization.

27334686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

It can be divided in two parts, 2733 and 4686720, that added together give a triangular number (4689453 = T₃₀₆₂).

The spelling of 27334686720 in words is "twenty-seven billion, three hundred thirty-four million, six hundred eighty-six thousand, seven hundred twenty".