168420470400 has 1536 divisors, whose sum is σ = 784216473600. Its totient is φ = 34338816000.

The previous prime is 168420470353. The next prime is 168420470423. The reversal of 168420470400 is 4074024861.

168420470400 is a `hidden beast` number, since 168 + 4 + 20 + 4 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243734055 + ... + 243734745.

It is an arithmetic number, because the mean of its divisors is an integer number (510557600).

Almost surely, 2^168420470400 is an apocalyptic number.

168420470400 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 168420470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392108236800).

168420470400 is an abundant number, since it is smaller than the sum of its proper divisors (615796003200).

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

168420470400 is a wasteful number, since it uses less digits than its factorization.

168420470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 168420470400 in words is "one hundred sixty-eight billion, four hundred twenty million, four hundred seventy thousand, four hundred".