27347748480 has 384 divisors, whose sum is σ = 102039996240. Its totient is φ = 6709248000.

The previous prime is 27347748427. The next prime is 27347748481. The reversal of 27347748480 is 8484774372.

27347748480 is a `hidden beast` number, since 27 + 34 + 77 + 48 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9018921024 + 18328827456 = 94968^2 + 135384^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (27347748481) 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, 39012130 + ... + 39012830.

Almost surely, 2^27347748480 is an apocalyptic number.

27347748480 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 27347748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51019998120).

27347748480 is an abundant number, since it is smaller than the sum of its proper divisors (74692247760).

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

27347748480 is a wasteful number, since it uses less digits than its factorization.

27347748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 27347748480 in words is "twenty-seven billion, three hundred forty-seven million, seven hundred forty-eight thousand, four hundred eighty".