27863436240 has 300 divisors, whose sum is σ = 97995760236. Its totient is φ = 7337558016.

The previous prime is 27863436221. The next prime is 27863436241. The reversal of 27863436240 is 4263436872.

27863436240 is a `hidden beast` number, since 2 + 7 + 8 + 634 + 3 + 6 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 189117504 + 27674318736 = 13752^2 + 166356^2 .

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 (27863436241) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 60970092 + ... + 60970548.

Almost surely, 2^27863436240 is an apocalyptic number.

27863436240 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 27863436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48997880118).

27863436240 is an abundant number, since it is smaller than the sum of its proper divisors (70132323996).

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

27863436240 is an equidigital number, since it uses as much as digits as its factorization.

27863436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 27863436240 in words is "twenty-seven billion, eight hundred sixty-three million, four hundred thirty-six thousand, two hundred forty".