27461468160 has 720 divisors, whose sum is σ = 115564228416. Its totient is φ = 5888802816.

The previous prime is 27461468123. The next prime is 27461468173. The reversal of 27461468160 is 6186416472.

27461468160 is a `hidden beast` number, since 2 + 74 + 61 + 468 + 1 + 60 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87736164 + ... + 87736476.

Almost surely, 2^27461468160 is an apocalyptic number.

27461468160 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 27461468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57782114208).

27461468160 is an abundant number, since it is smaller than the sum of its proper divisors (88102760256).

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

27461468160 is a wasteful number, since it uses less digits than its factorization.

27461468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27461468160 in words is "twenty-seven billion, four hundred sixty-one million, four hundred sixty-eight thousand, one hundred sixty".