3166752221640 has 1920 divisors, whose sum is σ = 13431604032000. Its totient is φ = 665181683712.

The previous prime is 3166752221609. The next prime is 3166752221641. The reversal of 3166752221640 is 461222576613.

3166752221640 is a `hidden beast` number, since 3 + 1 + 6 + 67 + 522 + 2 + 1 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3166752221641) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 23114979652 + ... + 23114979788.

It is an arithmetic number, because the mean of its divisors is an integer number (6995627100).

Almost surely, 2^{3166752221640} is an apocalyptic number.

3166752221640 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 3166752221640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715802016000).

3166752221640 is an abundant number, since it is smaller than the sum of its proper divisors (10264851810360).

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

3166752221640 is a wasteful number, since it uses less digits than its factorization.

3166752221640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3166752221640 in words is "three trillion, one hundred sixty-six billion, seven hundred fifty-two million, two hundred twenty-one thousand, six hundred forty".