33468664320 has 1280 divisors, whose sum is σ = 155420052480. Its totient is φ = 6624903168.

The previous prime is 33468664283. The next prime is 33468664351. The reversal of 33468664320 is 2346686433.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×33468664320² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106928484 + ... + 106928796.

It is an arithmetic number, because the mean of its divisors is an integer number (121421916).

Almost surely, 2^33468664320 is an apocalyptic number.

33468664320 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 33468664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77710026240).

33468664320 is an abundant number, since it is smaller than the sum of its proper divisors (121951388160).

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

33468664320 is a wasteful number, since it uses less digits than its factorization.

33468664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 33468664320 in words is "thirty-three billion, four hundred sixty-eight million, six hundred sixty-four thousand, three hundred twenty".