27661877824 has 224 divisors, whose sum is σ = 67153536000. Its totient is φ = 11055120384.

The previous prime is 27661877807. The next prime is 27661877849. The reversal of 27661877824 is 42877816672.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54345282 + ... + 54345790.

Almost surely, 2^27661877824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27661877824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33576768000).

27661877824 is an abundant number, since it is smaller than the sum of its proper divisors (39491658176).

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

27661877824 is a wasteful number, since it uses less digits than its factorization.

27661877824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 58.

The spelling of 27661877824 in words is "twenty-seven billion, six hundred sixty-one million, eight hundred seventy-seven thousand, eight hundred twenty-four".