33634320480 has 1152 divisors, whose sum is σ = 136949170176. Its totient is φ = 7461273600.

The previous prime is 33634320413. The next prime is 33634320481. The reversal of 33634320480 is 8402343633.

33634320480 is a `hidden beast` number, since 3 + 36 + 343 + 204 + 80 = 666.

It is a super-2 number, since 2×33634320480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33634320481) 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 191 ways as a sum of consecutive naturals, for example, 715623817 + ... + 715623863.

It is an arithmetic number, because the mean of its divisors is an integer number (118879488).

Almost surely, 2^33634320480 is an apocalyptic number.

33634320480 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 33634320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68474585088).

33634320480 is an abundant number, since it is smaller than the sum of its proper divisors (103314849696).

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

33634320480 is a wasteful number, since it uses less digits than its factorization.

33634320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 33634320480 in words is "thirty-three billion, six hundred thirty-four million, three hundred twenty thousand, four hundred eighty".