27816763392 has 560 divisors, whose sum is σ = 94010634432. Its totient is φ = 8121876480.

The previous prime is 27816763379. The next prime is 27816763397. The reversal of 27816763392 is 29336761872.

It is a super-2 number, since 2×27816763392² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (4572288) is a multiple of the sum of its prime factors (189).

It is not an unprimeable number, because it can be changed into a prime (27816763397) 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, 270065613 + ... + 270065715.

Almost surely, 2^27816763392 is an apocalyptic number.

27816763392 is a gapful number since it is divisible by the number (22) 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 27816763392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47005317216).

27816763392 is an abundant number, since it is smaller than the sum of its proper divisors (66193871040).

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

27816763392 is a wasteful number, since it uses less digits than its factorization.

27816763392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 27816763392 in words is "twenty-seven billion, eight hundred sixteen million, seven hundred sixty-three thousand, three hundred ninety-two".