168416513760 has 768 divisors, whose sum is σ = 649630679040. Its totient is φ = 36187176960.

The previous prime is 168416513729. The next prime is 168416513761. The reversal of 168416513760 is 67315614861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168416513761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108445144 + ... + 108446696.

It is an arithmetic number, because the mean of its divisors is an integer number (845873280).

Almost surely, 2^168416513760 is an apocalyptic number.

168416513760 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 168416513760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324815339520).

168416513760 is an abundant number, since it is smaller than the sum of its proper divisors (481214165280).

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

168416513760 is a wasteful number, since it uses less digits than its factorization.

168416513760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 168416513760 in words is "one hundred sixty-eight billion, four hundred sixteen million, five hundred thirteen thousand, seven hundred sixty".