27448404480 has 720 divisors, whose sum is σ = 113469940584. Its totient is φ = 6110576640.

The previous prime is 27448404469. The next prime is 27448404499. The reversal of 27448404480 is 8440484472.

It can be written as a sum of positive squares in 4 ways, for example, as 16388096256 + 11060308224 = 128016^2 + 105168^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 46287064 + ... + 46287656.

Almost surely, 2^27448404480 is an apocalyptic number.

27448404480 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 27448404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56734970292).

27448404480 is an abundant number, since it is smaller than the sum of its proper divisors (86021536104).

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

27448404480 is a wasteful number, since it uses less digits than its factorization.

27448404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 27448404480 in words is "twenty-seven billion, four hundred forty-eight million, four hundred four thousand, four hundred eighty".