27267649920 has 256 divisors, whose sum is σ = 110369548800. Its totient is φ = 6232578048.

The previous prime is 27267649909. The next prime is 27267649961. The reversal of 27267649920 is 2994676272.

27267649920 is a `hidden beast` number, since 2 + 72 + 67 + 6 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8247 + ... + 233673.

It is an arithmetic number, because the mean of its divisors is an integer number (431131050).

Almost surely, 2^27267649920 is an apocalyptic number.

27267649920 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 27267649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55184774400).

27267649920 is an abundant number, since it is smaller than the sum of its proper divisors (83101898880).

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

27267649920 is a wasteful number, since it uses less digits than its factorization.

27267649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225462 (or 225444 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 27267649920 in words is "twenty-seven billion, two hundred sixty-seven million, six hundred forty-nine thousand, nine hundred twenty".