27817943040 has 336 divisors, whose sum is σ = 98140723200. Its totient is φ = 7286685696.

The previous prime is 27817943017. The next prime is 27817943057. The reversal of 27817943040 is 4034971872.

27817943040 is a `hidden beast` number, since 2 + 7 + 8 + 179 + 430 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21749121 + ... + 21750399.

Almost surely, 2^27817943040 is an apocalyptic number.

27817943040 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 27817943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49070361600).

27817943040 is an abundant number, since it is smaller than the sum of its proper divisors (70322780160).

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

27817943040 is a wasteful number, since it uses less digits than its factorization.

27817943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27817943040 in words is "twenty-seven billion, eight hundred seventeen million, nine hundred forty-three thousand, forty".