27113264640 has 1920 divisors, whose sum is σ = 132368670720. Its totient is φ = 4954521600.

The previous prime is 27113264569. The next prime is 27113264653. The reversal of 27113264640 is 4646231172.

27113264640 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 3 + 2 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27113264595 and 27113264604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 874621425 + ... + 874621455.

It is an arithmetic number, because the mean of its divisors is an integer number (68942016).

Almost surely, 2^27113264640 is an apocalyptic number.

27113264640 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 27113264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66184335360).

27113264640 is an abundant number, since it is smaller than the sum of its proper divisors (105255406080).

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

27113264640 is a wasteful number, since it uses less digits than its factorization.

27113264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27113264640 in words is "twenty-seven billion, one hundred thirteen million, two hundred sixty-four thousand, six hundred forty".