27663100920 has 768 divisors, whose sum is σ = 118984320000. Its totient is φ = 5523323904.

The previous prime is 27663100849. The next prime is 27663100921. The reversal of 27663100920 is 2900136672.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27663100921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30499107 + ... + 30500013.

It is an arithmetic number, because the mean of its divisors is an integer number (154927500).

Almost surely, 2^27663100920 is an apocalyptic number.

27663100920 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 27663100920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59492160000).

27663100920 is an abundant number, since it is smaller than the sum of its proper divisors (91321219080).

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

27663100920 is a wasteful number, since it uses less digits than its factorization.

27663100920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 27663100920 in words is "twenty-seven billion, six hundred sixty-three million, one hundred thousand, nine hundred twenty".