67162145756160 has 3520 divisors, whose sum is σ = 290825253976320. Its totient is φ = 13109664153600.

The previous prime is 67162145756149. The next prime is 67162145756201. The reversal of 67162145756160 is 6165754126176.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 67162145756160.

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, 664971740110 + ... + 664971740210.

Almost surely, 2^{67162145756160} is an apocalyptic number.

67162145756160 is a gapful number since it is divisible by the number (60) 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 67162145756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145412626988160).

67162145756160 is an abundant number, since it is smaller than the sum of its proper divisors (223663108220160).

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

67162145756160 is a wasteful number, since it uses less digits than its factorization.

67162145756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 67162145756160 in words is "sixty-seven trillion, one hundred sixty-two billion, one hundred forty-five million, seven hundred fifty-six thousand, one hundred sixty".