27463048704 has 800 divisors, whose sum is σ = 106473185280. Its totient is φ = 6843875328.

The previous prime is 27463048699. The next prime is 27463048721. The reversal of 27463048704 is 40784036472.

27463048704 is a `hidden beast` number, since 2 + 7 + 4 + 630 + 4 + 8 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27463048704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71704897 + ... + 71705279.

Almost surely, 2^27463048704 is an apocalyptic number.

27463048704 is a gapful number since it is divisible by the number (24) 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 27463048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53236592640).

27463048704 is an abundant number, since it is smaller than the sum of its proper divisors (79010136576).

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

27463048704 is a wasteful number, since it uses less digits than its factorization.

27463048704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 27463048704 in words is "twenty-seven billion, four hundred sixty-three million, forty-eight thousand, seven hundred four".