27982644480 has 576 divisors, whose sum is σ = 114689003520. Its totient is φ = 6328295424.

The previous prime is 27982644461. The next prime is 27982644499. The reversal of 27982644480 is 8444628972.

27982644480 is a `hidden beast` number, since 27 + 9 + 82 + 64 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (27982644461) and next prime (27982644499).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24917199 + ... + 24918321.

Almost surely, 2^27982644480 is an apocalyptic number.

27982644480 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 27982644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57344501760).

27982644480 is an abundant number, since it is smaller than the sum of its proper divisors (86706359040).

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

27982644480 is a wasteful number, since it uses less digits than its factorization.

27982644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 27982644480 in words is "twenty-seven billion, nine hundred eighty-two million, six hundred forty-four thousand, four hundred eighty".