27216672000 has 576 divisors, whose sum is σ = 104597595648. Its totient is φ = 6144000000.

The previous prime is 27216671957. The next prime is 27216672001. The reversal of 27216672000 is 27661272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27216672001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67871800 + ... + 67872200.

It is an arithmetic number, because the mean of its divisors is an integer number (181593048).

Almost surely, 2^27216672000 is an apocalyptic number.

27216672000 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 27216672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52298797824).

27216672000 is an abundant number, since it is smaller than the sum of its proper divisors (77380923648).

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

27216672000 is a wasteful number, since it uses less digits than its factorization.

27216672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 27216672000 in words is "twenty-seven billion, two hundred sixteen million, six hundred seventy-two thousand".