27766996992 has 600 divisors, whose sum is σ = 98327213600. Its totient is φ = 7803371520.

The previous prime is 27766996991. The next prime is 27766997003. The reversal of 27766996992 is 29969966772.

It is a super-2 number, since 2×27766996992² (a number of 22 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 27766996992.

It is not an unprimeable number, because it can be changed into a prime (27766996991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 455196642 + ... + 455196702.

Almost surely, 2^27766996992 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 27766996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49163606800).

27766996992 is an abundant number, since it is smaller than the sum of its proper divisors (70560216608).

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

27766996992 is an frugal number, since it uses more digits than its factorization.

27766996992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The spelling of 27766996992 in words is "twenty-seven billion, seven hundred sixty-six million, nine hundred ninety-six thousand, nine hundred ninety-two".