67166212960 has 576 divisors, whose sum is σ = 214081056000. Its totient is φ = 19636162560.

The previous prime is 67166212943. The next prime is 67166212987. The reversal of 67166212960 is 6921266176.

67166212960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67166212960² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67166212960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293302126 + ... + 293302354.

It is an arithmetic number, because the mean of its divisors is an integer number (371668500).

Almost surely, 2^67166212960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67166212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107040528000).

67166212960 is an abundant number, since it is smaller than the sum of its proper divisors (146914843040).

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

67166212960 is a wasteful number, since it uses less digits than its factorization.

67166212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

It can be divided in two parts, 67166 and 212960, that added together give a triangular number (280126 = T₇₄₈).

The spelling of 67166212960 in words is "sixty-seven billion, one hundred sixty-six million, two hundred twelve thousand, nine hundred sixty".