27836780832 has 864 divisors, whose sum is σ = 106482055680. Its totient is φ = 6827950080.

The previous prime is 27836780821. The next prime is 27836780869. The reversal of 27836780832 is 23808763872.

27836780832 is a `hidden beast` number, since 278 + 367 + 8 + 0 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×27836780832² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141303358 + ... + 141303554.

It is an arithmetic number, because the mean of its divisors is an integer number (123243120).

Almost surely, 2^27836780832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27836780832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53241027840).

27836780832 is an abundant number, since it is smaller than the sum of its proper divisors (78645274848).

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

27836780832 is a wasteful number, since it uses less digits than its factorization.

27836780832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 27836780832 in words is "twenty-seven billion, eight hundred thirty-six million, seven hundred eighty thousand, eight hundred thirty-two".