168401687040 has 320 divisors, whose sum is σ = 624190406400. Its totient is φ = 42954227712.

The previous prime is 168401687033. The next prime is 168401687059. The reversal of 168401687040 is 40786104861.

168401687040 is a `hidden beast` number, since 168 + 401 + 6 + 87 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536796 + ... + 1642724.

It is an arithmetic number, because the mean of its divisors is an integer number (1950595020).

Almost surely, 2^168401687040 is an apocalyptic number.

168401687040 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 168401687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312095203200).

168401687040 is an abundant number, since it is smaller than the sum of its proper divisors (455788719360).

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

168401687040 is a wasteful number, since it uses less digits than its factorization.

168401687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105984 (or 105962 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 168401687040 in words is "one hundred sixty-eight billion, four hundred one million, six hundred eighty-seven thousand, forty".