27778633344 has 512 divisors, whose sum is σ = 104437555200. Its totient is φ = 7058534400.

The previous prime is 27778633319. The next prime is 27778633367. The reversal of 27778633344 is 44333687772.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12506154 + ... + 12508374.

It is an arithmetic number, because the mean of its divisors is an integer number (203979600).

Almost surely, 2^27778633344 is an apocalyptic number.

27778633344 is a gapful number since it is divisible by the number (24) 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 27778633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52218777600).

27778633344 is an abundant number, since it is smaller than the sum of its proper divisors (76658921856).

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

27778633344 is a wasteful number, since it uses less digits than its factorization.

27778633344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2291 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 54.

The spelling of 27778633344 in words is "twenty-seven billion, seven hundred seventy-eight million, six hundred thirty-three thousand, three hundred forty-four".