33242066880 has 448 divisors, whose sum is σ = 119252390400. Its totient is φ = 7774617600.

The previous prime is 33242066831. The next prime is 33242066929. The reversal of 33242066880 is 8866024233.

It is an interprime number because it is at equal distance from previous prime (33242066831) and next prime (33242066929).

It is a super-2 number, since 2×33242066880² (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 63 ways as a sum of consecutive naturals, for example, 58216995 + ... + 58217565.

Almost surely, 2^33242066880 is an apocalyptic number.

33242066880 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 33242066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59626195200).

33242066880 is an abundant number, since it is smaller than the sum of its proper divisors (86010323520).

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

33242066880 is a wasteful number, since it uses less digits than its factorization.

33242066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 33242066880 in words is "thirty-three billion, two hundred forty-two million, sixty-six thousand, eight hundred eighty".