27734832000 has 1024 divisors, whose sum is σ = 112020480000. Its totient is φ = 6718464000.

The previous prime is 27734831989. The next prime is 27734832043. The reversal of 27734832000 is 23843772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254447946 + ... + 254448054.

It is an arithmetic number, because the mean of its divisors is an integer number (109395000).

Almost surely, 2^27734832000 is an apocalyptic number.

27734832000 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 27734832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56010240000).

27734832000 is an abundant number, since it is smaller than the sum of its proper divisors (84285648000).

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

27734832000 is a wasteful number, since it uses less digits than its factorization.

27734832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 27734832000 in words is "twenty-seven billion, seven hundred thirty-four million, eight hundred thirty-two thousand".