27466649280 has 336 divisors, whose sum is σ = 113654311680. Its totient is φ = 5947582464.

The previous prime is 27466649269. The next prime is 27466649281. The reversal of 27466649280 is 8294666472.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (27466649281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347187 + ... + 418893.

It is an arithmetic number, because the mean of its divisors is an integer number (338256880).

Almost surely, 2^27466649280 is an apocalyptic number.

27466649280 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 27466649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56827155840).

27466649280 is an abundant number, since it is smaller than the sum of its proper divisors (86187662400).

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

27466649280 is a wasteful number, since it uses less digits than its factorization.

27466649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71756 (or 71743 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 27466649280 in words is "twenty-seven billion, four hundred sixty-six million, six hundred forty-nine thousand, two hundred eighty".