166002646320 has 320 divisors, whose sum is σ = 653874816000. Its totient is φ = 37920006144.

The previous prime is 166002646291. The next prime is 166002646321. The reversal of 166002646320 is 23646200661.

166002646320 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 0 + 2 + 646 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166002646321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40202016 + ... + 40206144.

It is an arithmetic number, because the mean of its divisors is an integer number (2043358800).

Almost surely, 2^166002646320 is an apocalyptic number.

166002646320 is a gapful number since it is divisible by the number (10) 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 166002646320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326937408000).

166002646320 is an abundant number, since it is smaller than the sum of its proper divisors (487872169680).

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

166002646320 is a wasteful number, since it uses less digits than its factorization.

166002646320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 166002646320 its reverse (23646200661), we get a palindrome (189648846981).

The spelling of 166002646320 in words is "one hundred sixty-six billion, two million, six hundred forty-six thousand, three hundred twenty".