27862216704 has 728 divisors, whose sum is σ = 100843922432. Its totient is φ = 7524679680.

The previous prime is 27862216667. The next prime is 27862216717. The reversal of 27862216704 is 40761226872.

It is a happy number.

27862216704 is a `hidden beast` number, since 2 + 7 + 8 + 622 + 16 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27862216704.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 647958507 + ... + 647958549.

Almost surely, 2^27862216704 is an apocalyptic number.

27862216704 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 27862216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50421961216).

27862216704 is an abundant number, since it is smaller than the sum of its proper divisors (72981705728).

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

27862216704 is an frugal number, since it uses more digits than its factorization.

27862216704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27862216704 in words is "twenty-seven billion, eight hundred sixty-two million, two hundred sixteen thousand, seven hundred four".