27270533261664 has 1440 divisors, whose sum is σ = 111243714785280. Its totient is φ = 6451367731200.

The previous prime is 27270533261639. The next prime is 27270533261711. The reversal of 27270533261664 is 46616233507272.

27270533261664 is a `hidden beast` number, since 2 + 7 + 2 + 70 + 533 + 26 + 16 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27270533261664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 736246857 + ... + 736283895.

It is an arithmetic number, because the mean of its divisors is an integer number (77252579712).

Almost surely, 2^{27270533261664} is an apocalyptic number.

27270533261664 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 27270533261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55621857392640).

27270533261664 is an abundant number, since it is smaller than the sum of its proper divisors (83973181523616).

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

27270533261664 is a wasteful number, since it uses less digits than its factorization.

27270533261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37134 (or 37110 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 27270533261664 in words is "twenty-seven trillion, two hundred seventy billion, five hundred thirty-three million, two hundred sixty-one thousand, six hundred sixty-four".