32634789120 has 216 divisors, whose sum is σ = 118856556000. Its totient is φ = 8244523008.

The previous prime is 32634789091. The next prime is 32634789127. The reversal of 32634789120 is 2198743623.

32634789120 is a `hidden beast` number, since 3 + 2 + 634 + 7 + 8 + 9 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32634789127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144331 + ... + 293429.

Almost surely, 2^32634789120 is an apocalyptic number.

32634789120 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 32634789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59428278000).

32634789120 is an abundant number, since it is smaller than the sum of its proper divisors (86221766880).

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

32634789120 is a wasteful number, since it uses less digits than its factorization.

32634789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149145 (or 149128 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 32634789120 in words is "thirty-two billion, six hundred thirty-four million, seven hundred eighty-nine thousand, one hundred twenty".