27842233652640 has 576 divisors, whose sum is σ = 112623785164800. Its totient is φ = 6188115916800.

The previous prime is 27842233652593. The next prime is 27842233652647. The reversal of 27842233652640 is 4625633224872.

27842233652640 is a `hidden beast` number, since 2 + 7 + 8 + 42 + 2 + 3 + 36 + 526 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (27842233652647) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7837641 + ... + 10821879.

It is an arithmetic number, because the mean of its divisors is an integer number (195527404800).

Almost surely, 2^{27842233652640} is an apocalyptic number.

27842233652640 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 27842233652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56311892582400).

27842233652640 is an abundant number, since it is smaller than the sum of its proper divisors (84781551512160).

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

27842233652640 is a wasteful number, since it uses less digits than its factorization.

27842233652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984321 (or 2984310 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 27842233652640 in words is "twenty-seven trillion, eight hundred forty-two billion, two hundred thirty-three million, six hundred fifty-two thousand, six hundred forty".