32766085380 has 144 divisors (see below), whose sum is σ = 107043745536. Its totient is φ = 7466941440.

The previous prime is 32766085369. The next prime is 32766085397. The reversal of 32766085380 is 8358066723.

It is a super-2 number, since 2×32766085380² (a number of 22 digits) contains 22 as substring.

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, 974245 + ... + 1007315.

It is an arithmetic number, because the mean of its divisors is an integer number (743359344).

Almost surely, 2^32766085380 is an apocalyptic number.

32766085380 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 32766085380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53521872768).

32766085380 is an abundant number, since it is smaller than the sum of its proper divisors (74277660156).

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

32766085380 is a wasteful number, since it uses less digits than its factorization.

32766085380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33434 (or 33425 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 32766085380 in words is "thirty-two billion, seven hundred sixty-six million, eighty-five thousand, three hundred eighty".