27799729776 has 360 divisors, whose sum is σ = 100110925824. Its totient is φ = 7132769280.

The previous prime is 27799729729. The next prime is 27799729777. The reversal of 27799729776 is 67792799772.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27799729777) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3389841 + ... + 3398031.

Almost surely, 2^27799729776 is an apocalyptic number.

27799729776 is a gapful number since it is divisible by the number (26) 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 27799729776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50055462912).

27799729776 is an abundant number, since it is smaller than the sum of its proper divisors (72311196048).

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

27799729776 is a wasteful number, since it uses less digits than its factorization.

27799729776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8253 counting only the distinct ones).

The product of its digits is 294055272, while the sum is 72.

The spelling of 27799729776 in words is "twenty-seven billion, seven hundred ninety-nine million, seven hundred twenty-nine thousand, seven hundred seventy-six".