27234900864 has 320 divisors, whose sum is σ = 86374252800. Its totient is φ = 8489041920.

The previous prime is 27234900811. The next prime is 27234900907. The reversal of 27234900864 is 46800943272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33664492 + ... + 33665300.

It is an arithmetic number, because the mean of its divisors is an integer number (269919540).

Almost surely, 2^27234900864 is an apocalyptic number.

27234900864 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 27234900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43187126400).

27234900864 is an abundant number, since it is smaller than the sum of its proper divisors (59139351936).

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

27234900864 is a wasteful number, since it uses less digits than its factorization.

27234900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27234900864 in words is "twenty-seven billion, two hundred thirty-four million, nine hundred thousand, eight hundred sixty-four".