33464970960 has 80 divisors (see below), whose sum is σ = 103958346240. Its totient is φ = 8905331200.

The previous prime is 33464970947. The next prime is 33464970989. The reversal of 33464970960 is 6907946433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33464970960² (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 15 ways as a sum of consecutive naturals, for example, 30591 + ... + 260510.

It is an arithmetic number, because the mean of its divisors is an integer number (1299479328).

Almost surely, 2^33464970960 is an apocalyptic number.

33464970960 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 33464970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51979173120).

33464970960 is an abundant number, since it is smaller than the sum of its proper divisors (70493375280).

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

33464970960 is a wasteful number, since it uses less digits than its factorization.

33464970960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291596 (or 291590 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 33464970960 in words is "thirty-three billion, four hundred sixty-four million, nine hundred seventy thousand, nine hundred sixty".