33027746460 has 144 divisors (see below), whose sum is σ = 94354426656. Its totient is φ = 8631926784.

The previous prime is 33027746419. The next prime is 33027746473. The reversal of 33027746460 is 6464772033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72270552 + ... + 72271008.

It is an arithmetic number, because the mean of its divisors is an integer number (655239074).

Almost surely, 2^33027746460 is an apocalyptic number.

33027746460 is a gapful number since it is divisible by the number (30) 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 33027746460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47177213328).

33027746460 is an abundant number, since it is smaller than the sum of its proper divisors (61326680196).

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

33027746460 is a wasteful number, since it uses less digits than its factorization.

33027746460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 33027746460 in words is "thirty-three billion, twenty-seven million, seven hundred forty-six thousand, four hundred sixty".