32800328064 has 384 divisors, whose sum is σ = 114770073600. Its totient is φ = 8782774272.

The previous prime is 32800328063. The next prime is 32800328081. The reversal of 32800328064 is 46082300823.

32800328064 is a `hidden beast` number, since 328 + 0 + 0 + 328 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×32800328064² (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 (32800328063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14860849 + ... + 14863055.

It is an arithmetic number, because the mean of its divisors is an integer number (298880400).

Almost surely, 2^32800328064 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 32800328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57385036800).

32800328064 is an abundant number, since it is smaller than the sum of its proper divisors (81969745536).

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

32800328064 is a wasteful number, since it uses less digits than its factorization.

32800328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 32800328064 its reverse (46082300823), we get a palindrome (78882628887).

The spelling of 32800328064 in words is "thirty-two billion, eight hundred million, three hundred twenty-eight thousand, sixty-four".