27428679794304 has 768 divisors, whose sum is σ = 86030334748800. Its totient is φ = 8361232957440.

The previous prime is 27428679794303. The next prime is 27428679794309. The reversal of 27428679794304 is 40349797682472.

27428679794304 is a `hidden beast` number, since 2 + 7 + 42 + 8 + 67 + 97 + 9 + 430 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (27428679794303) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18520377244 + ... + 18520378724.

Almost surely, 2^{27428679794304} is an apocalyptic number.

27428679794304 is a gapful number since it is divisible by the number (24) 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 27428679794304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43015167374400).

27428679794304 is an abundant number, since it is smaller than the sum of its proper divisors (58601654954496).

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

27428679794304 is a wasteful number, since it uses less digits than its factorization.

27428679794304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 27428679794304 in words is "twenty-seven trillion, four hundred twenty-eight billion, six hundred seventy-nine million, seven hundred ninety-four thousand, three hundred four".