27332890752 has 128 divisors (see below), whose sum is σ = 74703021120. Its totient is φ = 8849408000.

The previous prime is 27332890727. The next prime is 27332890777. The reversal of 27332890752 is 25709823372.

It is an interprime number because it is at equal distance from previous prime (27332890727) and next prime (27332890777).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3664627 + ... + 3672077.

Almost surely, 2^27332890752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27332890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37351510560).

27332890752 is an abundant number, since it is smaller than the sum of its proper divisors (47370130368).

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

27332890752 is a wasteful number, since it uses less digits than its factorization.

27332890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 27332890752 in words is "twenty-seven billion, three hundred thirty-two million, eight hundred ninety thousand, seven hundred fifty-two".