166868350004070 has 640 divisors, whose sum is σ = 531391270354560. Its totient is φ = 37040325304320.

The previous prime is 166868350004063. The next prime is 166868350004087. The reversal of 166868350004070 is 70400053868661.

166868350004070 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 68 + 3 + 500 + 0 + 4 + 0 + 70 = 666.

166868350004070 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 166868350003998 and 166868350004016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11147587546 + ... + 11147602514.

It is an arithmetic number, because the mean of its divisors is an integer number (830298859929).

Almost surely, 2^{166868350004070} is an apocalyptic number.

166868350004070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166868350004070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265695635177280).

166868350004070 is an abundant number, since it is smaller than the sum of its proper divisors (364522920350490).

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

166868350004070 is a wasteful number, since it uses less digits than its factorization.

166868350004070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15782 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 166868350004070 in words is "one hundred sixty-six trillion, eight hundred sixty-eight billion, three hundred fifty million, four thousand, seventy".