33789000960 has 1440 divisors, whose sum is σ = 148085739648. Its totient is φ = 7245987840.

The previous prime is 33789000941. The next prime is 33789000997. The reversal of 33789000960 is 6900098733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×33789000960² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 637528294 + ... + 637528346.

Almost surely, 2^33789000960 is an apocalyptic number.

33789000960 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 33789000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74042869824).

33789000960 is an abundant number, since it is smaller than the sum of its proper divisors (114296738688).

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

33789000960 is a wasteful number, since it uses less digits than its factorization.

33789000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 33789000960 in words is "thirty-three billion, seven hundred eighty-nine million, nine hundred sixty", and thus it is an aban number.