27864736542720 has 3120 divisors, whose sum is σ = 129249501030144. Its totient is φ = 5578614374400.

The previous prime is 27864736542691. The next prime is 27864736542767. The reversal of 27864736542720 is 2724563746872.

27864736542720 is a `hidden beast` number, since 2 + 7 + 8 + 64 + 7 + 3 + 6 + 542 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 122752143247 + ... + 122752143473.

Almost surely, 2^{27864736542720} is an apocalyptic number.

27864736542720 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 27864736542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64624750515072).

27864736542720 is an abundant number, since it is smaller than the sum of its proper divisors (101384764487424).

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

27864736542720 is a wasteful number, since it uses less digits than its factorization.

27864736542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 27864736542720 in words is "twenty-seven trillion, eight hundred sixty-four billion, seven hundred thirty-six million, five hundred forty-two thousand, seven hundred twenty".