32068662336 has 336 divisors, whose sum is σ = 97041632688. Its totient is φ = 10115481600.

The previous prime is 32068662323. The next prime is 32068662359. The reversal of 32068662336 is 63326686023.

It can be written as a sum of positive squares in 8 ways, for example, as 9891495936 + 22177166400 = 99456^2 + 148920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32068662291 and 32068662300.

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, 162784990 + ... + 162785186.

It is an arithmetic number, because the mean of its divisors is an integer number (288814383).

Almost surely, 2^32068662336 is an apocalyptic number.

32068662336 is a gapful number since it is divisible by the number (36) 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 32068662336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48520816344).

32068662336 is an abundant number, since it is smaller than the sum of its proper divisors (64972970352).

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

32068662336 is a wasteful number, since it uses less digits than its factorization.

32068662336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 32068662336 in words is "thirty-two billion, sixty-eight million, six hundred sixty-two thousand, three hundred thirty-six".