33555907968 has 128 divisors (see below), whose sum is σ = 97327094400. Its totient is φ = 10158919680.

The previous prime is 33555907951. The next prime is 33555907969. The reversal of 33555907968 is 86970955533.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33555907968² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33555907969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5441655 + ... + 5447817.

It is an arithmetic number, because the mean of its divisors is an integer number (760367925).

Almost surely, 2^33555907968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33555907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48663547200).

33555907968 is an abundant number, since it is smaller than the sum of its proper divisors (63771186432).

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

33555907968 is a wasteful number, since it uses less digits than its factorization.

33555907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 60.

The spelling of 33555907968 in words is "thirty-three billion, five hundred fifty-five million, nine hundred seven thousand, nine hundred sixty-eight".