27970662960 has 160 divisors (see below), whose sum is σ = 96437964480. Its totient is φ = 7451523072.

The previous prime is 27970662959. The next prime is 27970662971. The reversal of 27970662960 is 6926607972.

It is a happy number.

27970662960 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 0 + 6 + 629 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27970662897 and 27970662906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406924 + ... + 2418516.

It is an arithmetic number, because the mean of its divisors is an integer number (602737278).

Almost surely, 2^27970662960 is an apocalyptic number.

27970662960 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 27970662960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48218982240).

27970662960 is an abundant number, since it is smaller than the sum of its proper divisors (68467301520).

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

27970662960 is a wasteful number, since it uses less digits than its factorization.

27970662960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12732 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 27970662960 in words is "twenty-seven billion, nine hundred seventy million, six hundred sixty-two thousand, nine hundred sixty".