27440745840 has 480 divisors, whose sum is σ = 103596869376. Its totient is φ = 6723440640.

The previous prime is 27440745821. The next prime is 27440745841. The reversal of 27440745840 is 4854704472.

27440745840 is a `hidden beast` number, since 27 + 4 + 40 + 7 + 4 + 584 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27440745841) 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, 14209675 + ... + 14211605.

Almost surely, 2^27440745840 is an apocalyptic number.

27440745840 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 27440745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51798434688).

27440745840 is an abundant number, since it is smaller than the sum of its proper divisors (76156123536).

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

27440745840 is a wasteful number, since it uses less digits than its factorization.

27440745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 27440745840 in words is "twenty-seven billion, four hundred forty million, seven hundred forty-five thousand, eight hundred forty".