8399671920 has 320 divisors, whose sum is σ = 29909514240. Its totient is φ = 2165087232.

The previous prime is 8399671909. The next prime is 8399671963. The reversal of 8399671920 is 291769938.

8399671920 is a `hidden beast` number, since 8 + 399 + 67 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18141609 + ... + 18142071.

It is an arithmetic number, because the mean of its divisors is an integer number (93467232).

Almost surely, 2^8399671920 is an apocalyptic number.

8399671920 is a gapful number since it is divisible by the number (80) 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 8399671920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954757120).

8399671920 is an abundant number, since it is smaller than the sum of its proper divisors (21509842320).

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

8399671920 is a wasteful number, since it uses less digits than its factorization.

8399671920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 8399671920 is about 91649.7240585044. The cubic root of 8399671920 is about 2032.7662482600.

The spelling of 8399671920 in words is "eight billion, three hundred ninety-nine million, six hundred seventy-one thousand, nine hundred twenty".