27829746776832 has 576 divisors, whose sum is σ = 99762144943104. Its totient is φ = 6651359723520.

The previous prime is 27829746776827. The next prime is 27829746776851. The reversal of 27829746776832 is 23867764792872.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243642358 + ... + 243756554.

It is an arithmetic number, because the mean of its divisors is an integer number (173198168304).

Almost surely, 2^{27829746776832} is an apocalyptic number.

27829746776832 is a gapful number since it is divisible by the number (22) 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 27829746776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49881072471552).

27829746776832 is an abundant number, since it is smaller than the sum of its proper divisors (71932398166272).

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

27829746776832 is a wasteful number, since it uses less digits than its factorization.

27829746776832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114564 (or 114550 counting only the distinct ones).

The product of its digits is 4779565056, while the sum is 78.

The spelling of 27829746776832 in words is "twenty-seven trillion, eight hundred twenty-nine billion, seven hundred forty-six million, seven hundred seventy-six thousand, eight hundred thirty-two".