27279060480 has 720 divisors, whose sum is σ = 111741602544. Its totient is φ = 6131220480.

The previous prime is 27279060469. The next prime is 27279060533. The reversal of 27279060480 is 8406097272.

27279060480 is a `hidden beast` number, since 2 + 7 + 27 + 90 + 60 + 480 = 666.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82413915 + ... + 82414245.

Almost surely, 2^27279060480 is an apocalyptic number.

27279060480 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 27279060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55870801272).

27279060480 is an abundant number, since it is smaller than the sum of its proper divisors (84462542064).

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

27279060480 is a wasteful number, since it uses less digits than its factorization.

27279060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27279060480 in words is "twenty-seven billion, two hundred seventy-nine million, sixty thousand, four hundred eighty".