27140974560 has 720 divisors, whose sum is σ = 113042381760. Its totient is φ = 6113802240.

The previous prime is 27140974543. The next prime is 27140974573. The reversal of 27140974560 is 6547904172.

27140974560 is a `hidden beast` number, since 2 + 7 + 14 + 0 + 9 + 74 + 560 = 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50167890 + ... + 50168430.

It is an arithmetic number, because the mean of its divisors is an integer number (157003308).

Almost surely, 2^27140974560 is an apocalyptic number.

27140974560 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 27140974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56521190880).

27140974560 is an abundant number, since it is smaller than the sum of its proper divisors (85901407200).

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

27140974560 is a wasteful number, since it uses less digits than its factorization.

27140974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27140974560 in words is "twenty-seven billion, one hundred forty million, nine hundred seventy-four thousand, five hundred sixty".