27861829632 has 768 divisors, whose sum is σ = 104569920000. Its totient is φ = 7283146752.

The previous prime is 27861829613. The next prime is 27861829637. The reversal of 27861829632 is 23692816872.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27861829637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246564808 + ... + 246564920.

It is an arithmetic number, because the mean of its divisors is an integer number (136158750).

Almost surely, 2^27861829632 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 27861829632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960000).

27861829632 is an abundant number, since it is smaller than the sum of its proper divisors (76708090368).

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

27861829632 is a wasteful number, since it uses less digits than its factorization.

27861829632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 138 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 27861829632 in words is "twenty-seven billion, eight hundred sixty-one million, eight hundred twenty-nine thousand, six hundred thirty-two".