32766412800 has 864 divisors, whose sum is σ = 124804199520. Its totient is φ = 7569408000.

The previous prime is 32766412781. The next prime is 32766412813. The reversal of 32766412800 is 821466723.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 762009579 + ... + 762009621.

It is an arithmetic number, because the mean of its divisors is an integer number (144449305).

Almost surely, 2^32766412800 is an apocalyptic number.

32766412800 is a gapful number since it is divisible by the number (30) 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 32766412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62402099760).

32766412800 is an abundant number, since it is smaller than the sum of its proper divisors (92037786720).

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

32766412800 is a wasteful number, since it uses less digits than its factorization.

32766412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 32766412800 in words is "thirty-two billion, seven hundred sixty-six million, four hundred twelve thousand, eight hundred".