33324636672 has 120 divisors (see below), whose sum is σ = 98777045796. Its totient is φ = 10807934976.

The previous prime is 33324636647. The next prime is 33324636677. The reversal of 33324636672 is 27663642333.

33324636672 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 4 + 636 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32694425856 + 630210816 = 180816^2 + 25104^2 .

It is a super-2 number, since 2×33324636672² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33324636677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72768 + ... + 268224.

Almost surely, 2^33324636672 is an apocalyptic number.

33324636672 is a gapful number since it is divisible by the number (32) 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 33324636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49388522898).

33324636672 is an abundant number, since it is smaller than the sum of its proper divisors (65452409124).

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

33324636672 is a wasteful number, since it uses less digits than its factorization.

33324636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195518 (or 195499 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 45.

It can be divided in two parts, 333 and 24636672, that multiplied together give a square (8204011776 = 90576²).

The spelling of 33324636672 in words is "thirty-three billion, three hundred twenty-four million, six hundred thirty-six thousand, six hundred seventy-two".