168263331207840 has 720 divisors, whose sum is σ = 654274480111560. Its totient is φ = 40694059929600.

The previous prime is 168263331207827. The next prime is 168263331207857. The reversal of 168263331207840 is 48702133362861.

It is a happy number.

168263331207840 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 63 + 331 + 207 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26497826940816 + 141765504267024 = 5147604^2 + 11906532^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 660067926 + ... + 660322794.

Almost surely, 2^{168263331207840} is an apocalyptic number.

168263331207840 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 168263331207840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327137240055780).

168263331207840 is an abundant number, since it is smaller than the sum of its proper divisors (486011148903720).

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

168263331207840 is a wasteful number, since it uses less digits than its factorization.

168263331207840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255339 (or 255311 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 168263331207840 in words is "one hundred sixty-eight trillion, two hundred sixty-three billion, three hundred thirty-one million, two hundred seven thousand, eight hundred forty".