27040443264 has 96 divisors (see below), whose sum is σ = 78018259800. Its totient is φ = 8989553664.

The previous prime is 27040443251. The next prime is 27040443299. The reversal of 27040443264 is 46234404072.

It is a tau number, because it is divible by the number of its divisors (96).

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405642 + ... + 467574.

Almost surely, 2^27040443264 is an apocalyptic number.

27040443264 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 27040443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39009129900).

27040443264 is an abundant number, since it is smaller than the sum of its proper divisors (50977816536).

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

27040443264 is a wasteful number, since it uses less digits than its factorization.

27040443264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62332 (or 62317 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 27040443264 in words is "twenty-seven billion, forty million, four hundred forty-three thousand, two hundred sixty-four".