27646016040 has 160 divisors (see below), whose sum is σ = 93159724680. Its totient is φ = 7353358848.

The previous prime is 27646015981. The next prime is 27646016081. The reversal of 27646016040 is 4061064672.

27646016040 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 601 + 6 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18327202884 + 9318813156 = 135378^2 + 96534^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27646015986 and 27646016004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1275534 + ... + 1297026.

Almost surely, 2^27646016040 is an apocalyptic number.

27646016040 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 27646016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46579862340).

27646016040 is an abundant number, since it is smaller than the sum of its proper divisors (65513708640).

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

27646016040 is a wasteful number, since it uses less digits than its factorization.

27646016040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21913 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27646016040 in words is "twenty-seven billion, six hundred forty-six million, sixteen thousand, forty".