27820583640 has 192 divisors, whose sum is σ = 96087008160. Its totient is φ = 6956789760.

The previous prime is 27820583627. The next prime is 27820583641. The reversal of 27820583640 is 4638502872.

27820583640 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 0 + 583 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27820583641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1687035 + ... + 1703445.

Almost surely, 2^27820583640 is an apocalyptic number.

27820583640 is a gapful number since it is divisible by the number (20) 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 27820583640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48043504080).

27820583640 is an abundant number, since it is smaller than the sum of its proper divisors (68266424520).

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

27820583640 is a wasteful number, since it uses less digits than its factorization.

27820583640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16722 (or 16715 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27820583640 in words is "twenty-seven billion, eight hundred twenty million, five hundred eighty-three thousand, six hundred forty".