27230321664 has 704 divisors, whose sum is σ = 101242982400. Its totient is φ = 7038959616.

The previous prime is 27230321653. The next prime is 27230321711. The reversal of 27230321664 is 46612303272.

27230321664 is a `hidden beast` number, since 272 + 3 + 0 + 321 + 6 + 64 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198761404 + ... + 198761540.

Almost surely, 2^27230321664 is an apocalyptic number.

27230321664 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 27230321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621491200).

27230321664 is an abundant number, since it is smaller than the sum of its proper divisors (74012660736).

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

27230321664 is a wasteful number, since it uses less digits than its factorization.

27230321664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 27230321664 in words is "twenty-seven billion, two hundred thirty million, three hundred twenty-one thousand, six hundred sixty-four".