27942368823702 has 224 divisors, whose sum is σ = 66659555400480. Its totient is φ = 8764984650240.

The previous prime is 27942368823619. The next prime is 27942368823779. The reversal of 27942368823702 is 20732886324972.

27942368823702 is a `hidden beast` number, since 2 + 7 + 9 + 423 + 68 + 82 + 3 + 70 + 2 = 666.

It is a super-4 number, since 4×27942368823702⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27942368823702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1894775893 + ... + 1894790639.

It is an arithmetic number, because the mean of its divisors is an integer number (297587300895).

Almost surely, 2^{27942368823702} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27942368823702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33329777700240).

27942368823702 is an abundant number, since it is smaller than the sum of its proper divisors (38717186576778).

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

27942368823702 is a wasteful number, since it uses less digits than its factorization.

27942368823702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15930 (or 15915 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 27942368823702 in words is "twenty-seven trillion, nine hundred forty-two billion, three hundred sixty-eight million, eight hundred twenty-three thousand, seven hundred two".