27483966720 has 648 divisors, whose sum is σ = 111641460840. Its totient is φ = 6224117760.

The previous prime is 27483966683. The next prime is 27483966721. The reversal of 27483966720 is 2766938472.

27483966720 is a `hidden beast` number, since 2 + 7 + 483 + 96 + 6 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2118945024 + 25365021696 = 46032^2 + 159264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27483966721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102170746 + ... + 102171014.

It is an arithmetic number, because the mean of its divisors is an integer number (172286205).

Almost surely, 2^27483966720 is an apocalyptic number.

27483966720 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 27483966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55820730420).

27483966720 is an abundant number, since it is smaller than the sum of its proper divisors (84157494120).

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

27483966720 is a wasteful number, since it uses less digits than its factorization.

27483966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 27483966720 in words is "twenty-seven billion, four hundred eighty-three million, nine hundred sixty-six thousand, seven hundred twenty".