32406815674368 has 208 divisors, whose sum is σ = 97193790036800. Its totient is φ = 10802268905472.

The previous prime is 32406815674351. The next prime is 32406815674447. The reversal of 32406815674368 is 86347651860423.

It is a happy number.

32406815674368 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 6 + 8 + 1 + 567 + 4 + 3 + 68 = 666.

It is a super-2 number, since 2×32406815674368² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 7149123 + ... + 10766781.

Almost surely, 2^{32406815674368} 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 32406815674368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48596895018400).

32406815674368 is an abundant number, since it is smaller than the sum of its proper divisors (64786974362432).

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

32406815674368 is an frugal number, since it uses more digits than its factorization.

32406815674368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617704 (or 3617664 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 32406815674368 in words is "thirty-two trillion, four hundred six billion, eight hundred fifteen million, six hundred seventy-four thousand, three hundred sixty-eight".