168457604908320 has 2304 divisors, whose sum is σ = 774838213632000. Its totient is φ = 33279388876800.

The previous prime is 168457604908261. The next prime is 168457604908331. The reversal of 168457604908320 is 23809406754861.

168457604908320 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 5 + 7 + 60 + 490 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22608720595 + ... + 22608728045.

It is an arithmetic number, because the mean of its divisors is an integer number (336301308000).

It is a 1-persistent number, because it is pandigital, but 2⋅168457604908320 = 336915209816640 is not.

Almost surely, 2^{168457604908320} is an apocalyptic number.

168457604908320 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 168457604908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387419106816000).

168457604908320 is an abundant number, since it is smaller than the sum of its proper divisors (606380608723680).

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

168457604908320 is a wasteful number, since it uses less digits than its factorization.

168457604908320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 168457604908320 in words is "one hundred sixty-eight trillion, four hundred fifty-seven billion, six hundred four million, nine hundred eight thousand, three hundred twenty".