27617936640 has 432 divisors, whose sum is σ = 105405253632. Its totient is φ = 6140510208.

The previous prime is 27617936587. The next prime is 27617936641. The reversal of 27617936640 is 4663971672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27617936641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6959937 + ... + 6963903.

Almost surely, 2^27617936640 is an apocalyptic number.

27617936640 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 27617936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52702626816).

27617936640 is an abundant number, since it is smaller than the sum of its proper divisors (77787316992).

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

27617936640 is a wasteful number, since it uses less digits than its factorization.

27617936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 27617936640 in words is "twenty-seven billion, six hundred seventeen million, nine hundred thirty-six thousand, six hundred forty".