8371968192 has 336 divisors, whose sum is σ = 28997160192. Its totient is φ = 2345241600.

The previous prime is 8371968181. The next prime is 8371968217. The reversal of 8371968192 is 2918691738.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5769067 + ... + 5770517.

It is an arithmetic number, because the mean of its divisors is an integer number (86301072).

Almost surely, 2^8371968192 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 8371968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498580096).

8371968192 is an abundant number, since it is smaller than the sum of its proper divisors (20625192000).

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

8371968192 is a wasteful number, since it uses less digits than its factorization.

8371968192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1516 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 8371968192 is about 91498.4600526151. The cubic root of 8371968192 is about 2030.5289692234.

The spelling of 8371968192 in words is "eight billion, three hundred seventy-one million, nine hundred sixty-eight thousand, one hundred ninety-two".