27730923264 has 432 divisors, whose sum is σ = 91603249920. Its totient is φ = 8267212800.

The previous prime is 27730923217. The next prime is 27730923289. The reversal of 27730923264 is 46232903772.

27730923264 is a `hidden beast` number, since 277 + 30 + 92 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 59380759 + ... + 59381225.

It is an arithmetic number, because the mean of its divisors is an integer number (212044560).

Almost surely, 2^27730923264 is an apocalyptic number.

27730923264 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 27730923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45801624960).

27730923264 is an abundant number, since it is smaller than the sum of its proper divisors (63872326656).

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

27730923264 is a wasteful number, since it uses less digits than its factorization.

27730923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 27730923264 in words is "twenty-seven billion, seven hundred thirty million, nine hundred twenty-three thousand, two hundred sixty-four".