27804974436 has 192 divisors, whose sum is σ = 76701542400. Its totient is φ = 8692624512.

The previous prime is 27804974389. The next prime is 27804974441. The reversal of 27804974436 is 63447940872.

27804974436 is a `hidden beast` number, since 2 + 7 + 80 + 497 + 44 + 36 = 666.

It is a super-2 number, since 2×27804974436² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32368575 + ... + 32369433.

It is an arithmetic number, because the mean of its divisors is an integer number (399487200).

Almost surely, 2^27804974436 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 27804974436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38350771200).

27804974436 is an abundant number, since it is smaller than the sum of its proper divisors (48896567964).

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

27804974436 is a wasteful number, since it uses less digits than its factorization.

27804974436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 27804974436 in words is "twenty-seven billion, eight hundred four million, nine hundred seventy-four thousand, four hundred thirty-six".