27456791040 has 240 divisors, whose sum is σ = 108675597888. Its totient is φ = 6275801088.

The previous prime is 27456791039. The next prime is 27456791081. The reversal of 27456791040 is 4019765472.

27456791040 is a `hidden beast` number, since 2 + 74 + 567 + 9 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 76159 + ... + 246401.

Almost surely, 2^27456791040 is an apocalyptic number.

27456791040 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 27456791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54337798944).

27456791040 is an abundant number, since it is smaller than the sum of its proper divisors (81218806848).

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

27456791040 is a wasteful number, since it uses less digits than its factorization.

27456791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170279 (or 170260 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27456791040 in words is "twenty-seven billion, four hundred fifty-six million, seven hundred ninety-one thousand, forty".