27973632960 has 896 divisors, whose sum is σ = 124206243840. Its totient is φ = 5768921088.

The previous prime is 27973632937. The next prime is 27973632977. The reversal of 27973632960 is 6923637972.

27973632960 is a `hidden beast` number, since 279 + 7 + 363 + 2 + 9 + 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 = 27973632897 and 27973632906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36952902 + ... + 36953658.

It is an arithmetic number, because the mean of its divisors is an integer number (138623040).

Almost surely, 2^27973632960 is an apocalyptic number.

27973632960 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 27973632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62103121920).

27973632960 is an abundant number, since it is smaller than the sum of its proper divisors (96232610880).

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

27973632960 is a wasteful number, since it uses less digits than its factorization.

27973632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 27973632960 in words is "twenty-seven billion, nine hundred seventy-three million, six hundred thirty-two thousand, nine hundred sixty".