27749042802 has 256 divisors, whose sum is σ = 70677411840. Its totient is φ = 8012390400.

The previous prime is 27749042779. The next prime is 27749042831. The reversal of 27749042802 is 20824094772.

It is a super-3 number, since 3×27749042802³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 98750902 + ... + 98751182.

It is an arithmetic number, because the mean of its divisors is an integer number (276083640).

Almost surely, 2^27749042802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27749042802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35338705920).

27749042802 is an abundant number, since it is smaller than the sum of its proper divisors (42928369038).

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

27749042802 is a wasteful number, since it uses less digits than its factorization.

27749042802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27749042802 in words is "twenty-seven billion, seven hundred forty-nine million, forty-two thousand, eight hundred two".