32861832864 has 192 divisors, whose sum is σ = 104509440000. Its totient is φ = 8826236928.

The previous prime is 32861832833. The next prime is 32861832911. The reversal of 32861832864 is 46823816823.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 16438137 + ... + 16440135.

It is an arithmetic number, because the mean of its divisors is an integer number (544320000).

Almost surely, 2^32861832864 is an apocalyptic number.

32861832864 is a gapful number since it is divisible by the number (34) 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 32861832864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720000).

32861832864 is an abundant number, since it is smaller than the sum of its proper divisors (71647607136).

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

32861832864 is a wasteful number, since it uses less digits than its factorization.

32861832864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3467 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 32861832864 in words is "thirty-two billion, eight hundred sixty-one million, eight hundred thirty-two thousand, eight hundred sixty-four".