27320892984 has 864 divisors, whose sum is σ = 105294440160. Its totient is φ = 6240706560.

The previous prime is 27320892961. The next prime is 27320893007. The reversal of 27320892984 is 48929802372.

It is a happy number.

27320892984 is a `hidden beast` number, since 27 + 320 + 8 + 9 + 298 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (27320892961) and next prime (27320893007).

It is a self number, because there is not a number n which added to its sum of digits gives 27320892984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 374258772 + ... + 374258844.

It is an arithmetic number, because the mean of its divisors is an integer number (121868565).

Almost surely, 2^27320892984 is an apocalyptic number.

27320892984 is a gapful number since it is divisible by the number (24) 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 27320892984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52647220080).

27320892984 is an abundant number, since it is smaller than the sum of its proper divisors (77973547176).

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

27320892984 is a wasteful number, since it uses less digits than its factorization.

27320892984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27320892984 in words is "twenty-seven billion, three hundred twenty million, eight hundred ninety-two thousand, nine hundred eighty-four".