32508065664 has 384 divisors, whose sum is σ = 100007980800. Its totient is φ = 10507677696.

The previous prime is 32508065659. The next prime is 32508065671. The reversal of 32508065664 is 46656080523.

32508065664 is a `hidden beast` number, since 3 + 2 + 5 + 0 + 80 + 6 + 566 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233870907 + ... + 233871045.

It is an arithmetic number, because the mean of its divisors is an integer number (260437450).

Almost surely, 2^32508065664 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 32508065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50003990400).

32508065664 is an abundant number, since it is smaller than the sum of its proper divisors (67499915136).

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

32508065664 is a wasteful number, since it uses less digits than its factorization.

32508065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 32508065664 in words is "thirty-two billion, five hundred eight million, sixty-five thousand, six hundred sixty-four".