33282768640 has 288 divisors, whose sum is σ = 92662859520. Its totient is φ = 11319705600.

The previous prime is 33282768593. The next prime is 33282768653. The reversal of 33282768640 is 4686728233.

It is a happy number.

It is a super-2 number, since 2×33282768640² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50504631 + ... + 50505289.

It is an arithmetic number, because the mean of its divisors is an integer number (321746040).

Almost surely, 2^33282768640 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 33282768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46331429760).

33282768640 is an abundant number, since it is smaller than the sum of its proper divisors (59380090880).

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

33282768640 is a wasteful number, since it uses less digits than its factorization.

33282768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 33282768640 in words is "thirty-three billion, two hundred eighty-two million, seven hundred sixty-eight thousand, six hundred forty".