168462393488640 has 864 divisors, whose sum is σ = 623146897726080. Its totient is φ = 41893403295744.

The previous prime is 168462393488639. The next prime is 168462393488677. The reversal of 168462393488640 is 46884393264861.

168462393488640 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 6 + 239 + 348 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 25707671604 + ... + 25707678156.

Almost surely, 2^{168462393488640} is an apocalyptic number.

168462393488640 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 168462393488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311573448863040).

168462393488640 is an abundant number, since it is smaller than the sum of its proper divisors (454684504237440).

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

168462393488640 is a wasteful number, since it uses less digits than its factorization.

168462393488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8419 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 168462393488640 in words is "one hundred sixty-eight trillion, four hundred sixty-two billion, three hundred ninety-three million, four hundred eighty-eight thousand, six hundred forty".