27216733440 has 432 divisors, whose sum is σ = 99701316288. Its totient is φ = 6302859264.

The previous prime is 27216733429. The next prime is 27216733463. The reversal of 27216733440 is 4433761272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 11031087 + ... + 11033553.

It is an arithmetic number, because the mean of its divisors is an integer number (230790084).

Almost surely, 2^27216733440 is an apocalyptic number.

27216733440 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 27216733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49850658144).

27216733440 is an abundant number, since it is smaller than the sum of its proper divisors (72484582848).

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

27216733440 is a wasteful number, since it uses less digits than its factorization.

27216733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 27216733440 in words is "twenty-seven billion, two hundred sixteen million, seven hundred thirty-three thousand, four hundred forty".