27384634080 has 288 divisors, whose sum is σ = 94960180224. Its totient is φ = 7185604608.

The previous prime is 27384634073. The next prime is 27384634087. The reversal of 27384634080 is 8043648372.

27384634080 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 4 + 634 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27384634073) and next prime (27384634087).

It is a tau number, because it is divible by the number of its divisors (288).

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 (27384634087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25054014 + ... + 25055106.

It is an arithmetic number, because the mean of its divisors is an integer number (329722848).

Almost surely, 2^27384634080 is an apocalyptic number.

27384634080 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 27384634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47480090112).

27384634080 is an abundant number, since it is smaller than the sum of its proper divisors (67575546144).

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

27384634080 is a wasteful number, since it uses less digits than its factorization.

27384634080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 27384634080 in words is "twenty-seven billion, three hundred eighty-four million, six hundred thirty-four thousand, eighty".