166018613760 has 480 divisors, whose sum is σ = 586466749440. Its totient is φ = 43395416064.

The previous prime is 166018613749. The next prime is 166018613767. The reversal of 166018613760 is 67316810661.

166018613760 is a `hidden beast` number, since 1 + 6 + 601 + 8 + 6 + 1 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×166018613760² (a number of 23 digits) contains 22 as substring.

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 (166018613767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358571289 + ... + 358571751.

It is an arithmetic number, because the mean of its divisors is an integer number (1221805728).

Almost surely, 2^166018613760 is an apocalyptic number.

166018613760 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 166018613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293233374720).

166018613760 is an abundant number, since it is smaller than the sum of its proper divisors (420448135680).

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

166018613760 is a wasteful number, since it uses less digits than its factorization.

166018613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 166018613760 in words is "one hundred sixty-six billion, eighteen million, six hundred thirteen thousand, seven hundred sixty".