27478891440 has 1280 divisors, whose sum is σ = 129591705600. Its totient is φ = 5167411200.

The previous prime is 27478891439. The next prime is 27478891459. The reversal of 27478891440 is 4419887472.

27478891440 is a `hidden beast` number, since 27 + 478 + 8 + 9 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 153513271 + ... + 153513449.

It is an arithmetic number, because the mean of its divisors is an integer number (101243520).

Almost surely, 2^27478891440 is an apocalyptic number.

27478891440 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 27478891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64795852800).

27478891440 is an abundant number, since it is smaller than the sum of its proper divisors (102112814160).

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

27478891440 is a wasteful number, since it uses less digits than its factorization.

27478891440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 27478891440 in words is "twenty-seven billion, four hundred seventy-eight million, eight hundred ninety-one thousand, four hundred forty".