32218712064 has 1152 divisors, whose sum is σ = 129069158400. Its totient is φ = 7834337280.

The previous prime is 32218712011. The next prime is 32218712081. The reversal of 32218712064 is 46021781223.

It is a happy number.

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

It is a super-3 number, since 3×32218712064³ (a number of 33 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685504489 + ... + 685504535.

It is an arithmetic number, because the mean of its divisors is an integer number (112039200).

Almost surely, 2^32218712064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32218712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64534579200).

32218712064 is an abundant number, since it is smaller than the sum of its proper divisors (96850446336).

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

32218712064 is a wasteful number, since it uses less digits than its factorization.

32218712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 32218712064 in words is "thirty-two billion, two hundred eighteen million, seven hundred twelve thousand, sixty-four".