27416638080 has 768 divisors, whose sum is σ = 108902707200. Its totient is φ = 6479585280.

The previous prime is 27416638009. The next prime is 27416638087. The reversal of 27416638080 is 8083661472.

27416638080 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 6 + 638 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27416638087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215878977 + ... + 215879103.

It is an arithmetic number, because the mean of its divisors is an integer number (141800400).

Almost surely, 2^27416638080 is an apocalyptic number.

27416638080 is a gapful number since it is divisible by the number (20) 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 27416638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54451353600).

27416638080 is an abundant number, since it is smaller than the sum of its proper divisors (81486069120).

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

27416638080 is a wasteful number, since it uses less digits than its factorization.

27416638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27416638080 in words is "twenty-seven billion, four hundred sixteen million, six hundred thirty-eight thousand, eighty".