27912744720 has 960 divisors, whose sum is σ = 121280094720. Its totient is φ = 5759631360.

The previous prime is 27912744701. The next prime is 27912744793. The reversal of 27912744720 is 2744721972.

27912744720 is a `hidden beast` number, since 27 + 91 + 2 + 74 + 472 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 247015384 + ... + 247015496.

It is an arithmetic number, because the mean of its divisors is an integer number (126333432).

Almost surely, 2^27912744720 is an apocalyptic number.

27912744720 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 27912744720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60640047360).

27912744720 is an abundant number, since it is smaller than the sum of its proper divisors (93367350000).

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

27912744720 is a wasteful number, since it uses less digits than its factorization.

27912744720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 27912744720 in words is "twenty-seven billion, nine hundred twelve million, seven hundred forty-four thousand, seven hundred twenty".