27384715440 has 320 divisors, whose sum is σ = 97270917120. Its totient is φ = 7077611520.

The previous prime is 27384715433. The next prime is 27384715453. The reversal of 27384715440 is 4451748372.

27384715440 is a `hidden beast` number, since 2 + 7 + 38 + 4 + 71 + 544 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 10861380 + ... + 10863900.

It is an arithmetic number, because the mean of its divisors is an integer number (303971616).

Almost surely, 2^27384715440 is an apocalyptic number.

27384715440 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 27384715440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48635458560).

27384715440 is an abundant number, since it is smaller than the sum of its proper divisors (69886201680).

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

27384715440 is a wasteful number, since it uses less digits than its factorization.

27384715440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 27384715440 in words is "twenty-seven billion, three hundred eighty-four million, seven hundred fifteen thousand, four hundred forty".