33996732960 has 48 divisors (see below), whose sum is σ = 107089710336. Its totient is φ = 9065795328.

The previous prime is 33996732943. The next prime is 33996732989. The reversal of 33996732960 is 6923769933.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 33996732960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35412784 + ... + 35413743.

It is an arithmetic number, because the mean of its divisors is an integer number (2231035632).

Almost surely, 2^33996732960 is an apocalyptic number.

33996732960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33996732960 is an abundant number, since it is smaller than the sum of its proper divisors (73092977376).

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

33996732960 is a wasteful number, since it uses less digits than its factorization.

33996732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70826545 (or 70826537 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 57.

The spelling of 33996732960 in words is "thirty-three billion, nine hundred ninety-six million, seven hundred thirty-two thousand, nine hundred sixty".