33382990080 has 648 divisors, whose sum is σ = 131806898496. Its totient is φ = 8083722240.

The previous prime is 33382990079. The next prime is 33382990093. The reversal of 33382990080 is 8009928333.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×33382990080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37635397 + ... + 37636283.

Almost surely, 2^33382990080 is an apocalyptic number.

33382990080 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 33382990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65903449248).

33382990080 is an abundant number, since it is smaller than the sum of its proper divisors (98423908416).

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

33382990080 is an equidigital number, since it uses as much as digits as its factorization.

33382990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 33382990080 in words is "thirty-three billion, three hundred eighty-two million, nine hundred ninety thousand, eighty".