168214947840 has 576 divisors, whose sum is σ = 609015214080. Its totient is φ = 42892001280.

The previous prime is 168214947787. The next prime is 168214947853. The reversal of 168214947840 is 48749412861.

168214947840 is a `hidden beast` number, since 1 + 6 + 82 + 1 + 494 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277124817 + ... + 277125423.

It is an arithmetic number, because the mean of its divisors is an integer number (1057318080).

Almost surely, 2^168214947840 is an apocalyptic number.

168214947840 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 168214947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304507607040).

168214947840 is an abundant number, since it is smaller than the sum of its proper divisors (440800266240).

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

168214947840 is a wasteful number, since it uses less digits than its factorization.

168214947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 168214947840 in words is "one hundred sixty-eight billion, two hundred fourteen million, nine hundred forty-seven thousand, eight hundred forty".