166728222360 has 384 divisors, whose sum is σ = 636539904000. Its totient is φ = 37054983168.

The previous prime is 166728222301. The next prime is 166728222361. The reversal of 166728222360 is 63222827661.

166728222360 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 282 + 2 + 2 + 360 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166728222361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24811081 + ... + 24817799.

It is an arithmetic number, because the mean of its divisors is an integer number (1657656000).

Almost surely, 2^166728222360 is an apocalyptic number.

166728222360 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 166728222360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318269952000).

166728222360 is an abundant number, since it is smaller than the sum of its proper divisors (469811681640).

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

166728222360 is a wasteful number, since it uses less digits than its factorization.

166728222360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 166728222360 in words is "one hundred sixty-six billion, seven hundred twenty-eight million, two hundred twenty-two thousand, three hundred sixty".