27843479664 has 320 divisors, whose sum is σ = 96900464640. Its totient is φ = 6653352960.

The previous prime is 27843479581. The next prime is 27843479731. The reversal of 27843479664 is 46697434872.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27843479598 and 27843479607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17632827 + ... + 17634405.

It is an arithmetic number, because the mean of its divisors is an integer number (302813952).

Almost surely, 2^27843479664 is an apocalyptic number.

27843479664 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 27843479664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48450232320).

27843479664 is an abundant number, since it is smaller than the sum of its proper divisors (69056984976).

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

27843479664 is a wasteful number, since it uses less digits than its factorization.

27843479664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1982 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 60.

The spelling of 27843479664 in words is "twenty-seven billion, eight hundred forty-three million, four hundred seventy-nine thousand, six hundred sixty-four".