32766112413760 has 224 divisors, whose sum is σ = 91210180263552. Its totient is φ = 11078959595520.

The previous prime is 32766112413731. The next prime is 32766112413773. The reversal of 32766112413760 is 6731421166723.

It is a super-2 number, since 2×32766112413760² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668154 + ... + 8265286.

It is an arithmetic number, because the mean of its divisors is an integer number (407188304748).

Almost surely, 2^{32766112413760} 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 32766112413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45605090131776).

32766112413760 is an abundant number, since it is smaller than the sum of its proper divisors (58444067849792).

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

32766112413760 is a wasteful number, since it uses less digits than its factorization.

32766112413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597261 (or 6597251 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 32766112413760 in words is "thirty-two trillion, seven hundred sixty-six billion, one hundred twelve million, four hundred thirteen thousand, seven hundred sixty".