33009799680 has 960 divisors, whose sum is σ = 138021916032. Its totient is φ = 7184056320.

The previous prime is 33009799649. The next prime is 33009799681. The reversal of 33009799680 is 8699790033.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (33009799681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141672844 + ... + 141673076.

Almost surely, 2^33009799680 is an apocalyptic number.

33009799680 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 33009799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69010958016).

33009799680 is an abundant number, since it is smaller than the sum of its proper divisors (105012116352).

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

33009799680 is a wasteful number, since it uses less digits than its factorization.

33009799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 33009799680 in words is "thirty-three billion, nine million, seven hundred ninety-nine thousand, six hundred eighty".