27846705978 has 288 divisors, whose sum is σ = 78676416000. Its totient is φ = 7047855360.

The previous prime is 27846705973. The next prime is 27846706001. The reversal of 27846705978 is 87950764872.

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

It is not an unprimeable number, because it can be changed into a prime (27846705973) 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 143 ways as a sum of consecutive naturals, for example, 55804773 + ... + 55805271.

It is an arithmetic number, because the mean of its divisors is an integer number (273182000).

Almost surely, 2^27846705978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27846705978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39338208000).

27846705978 is an abundant number, since it is smaller than the sum of its proper divisors (50829710022).

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

27846705978 is a wasteful number, since it uses less digits than its factorization.

27846705978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 27846705978 in words is "twenty-seven billion, eight hundred forty-six million, seven hundred five thousand, nine hundred seventy-eight".