33081632640 has 1152 divisors, whose sum is σ = 145117440000. Its totient is φ = 6897623040.

The previous prime is 33081632629. The next prime is 33081632641. The reversal of 33081632640 is 4623618033.

33081632640 is a `hidden beast` number, since 3 + 3 + 0 + 8 + 1 + 6 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33081632595 and 33081632604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33081632641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166239261 + ... + 166239459.

It is an arithmetic number, because the mean of its divisors is an integer number (125970000).

Almost surely, 2^33081632640 is an apocalyptic number.

33081632640 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 33081632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720000).

33081632640 is an abundant number, since it is smaller than the sum of its proper divisors (112035807360).

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

33081632640 is a wasteful number, since it uses less digits than its factorization.

33081632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 33081632640 in words is "thirty-three billion, eighty-one million, six hundred thirty-two thousand, six hundred forty".