27663767040 has 640 divisors, whose sum is σ = 113644726272. Its totient is φ = 5579735040.

The previous prime is 27663767009. The next prime is 27663767051. The reversal of 27663767040 is 4076736672.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16073380 + ... + 16075100.

Almost surely, 2^27663767040 is an apocalyptic number.

27663767040 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 27663767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56822363136).

27663767040 is an abundant number, since it is smaller than the sum of its proper divisors (85980959232).

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

27663767040 is a wasteful number, since it uses less digits than its factorization.

27663767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 27663767040 in words is "twenty-seven billion, six hundred sixty-three million, seven hundred sixty-seven thousand, forty".