8406363168 has 576 divisors, whose sum is σ = 30405715200. Its totient is φ = 2248888320.

The previous prime is 8406363157. The next prime is 8406363179. The reversal of 8406363168 is 8613636048.

8406363168 is a `hidden beast` number, since 8 + 4 + 0 + 6 + 3 + 631 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8406363157) and next prime (8406363179).

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, 50337421 + ... + 50337587.

It is an arithmetic number, because the mean of its divisors is an integer number (52787700).

Almost surely, 2^8406363168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8406363168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202857600).

8406363168 is an abundant number, since it is smaller than the sum of its proper divisors (21999352032).

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

8406363168 is a wasteful number, since it uses less digits than its factorization.

8406363168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8406363168 is about 91686.2212548865. The cubic root of 8406363168 is about 2033.3058777863.

The spelling of 8406363168 in words is "eight billion, four hundred six million, three hundred sixty-three thousand, one hundred sixty-eight".