27818864640 has 416 divisors, whose sum is σ = 113043663360. Its totient is φ = 6357712896.

The previous prime is 27818864629. The next prime is 27818864641. The reversal of 27818864640 is 4646881872.

27818864640 is a `hidden beast` number, since 27 + 81 + 8 + 86 + 464 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (27818864641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3867127 + ... + 3874313.

Almost surely, 2^27818864640 is an apocalyptic number.

27818864640 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 27818864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56521831680).

27818864640 is an abundant number, since it is smaller than the sum of its proper divisors (85224798720).

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

27818864640 is an equidigital number, since it uses as much as digits as its factorization.

27818864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 27818864640 in words is "twenty-seven billion, eight hundred eighteen million, eight hundred sixty-four thousand, six hundred forty".