8394998976 has 448 divisors, whose sum is σ = 30641909760. Its totient is φ = 2194698240.

The previous prime is 8394998933. The next prime is 8394998977. The reversal of 8394998976 is 6798994938.

8394998976 is a `hidden beast` number, since 8 + 394 + 99 + 89 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (8394998977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30977721 + ... + 30977991.

It is an arithmetic number, because the mean of its divisors is an integer number (68397120).

Almost surely, 2^8394998976 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 8394998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320954880).

8394998976 is an abundant number, since it is smaller than the sum of its proper divisors (22246910784).

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

8394998976 is a wasteful number, since it uses less digits than its factorization.

8394998976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The square root of 8394998976 is about 91624.2270144747. The cubic root of 8394998976 is about 2032.3892190543.

The spelling of 8394998976 in words is "eight billion, three hundred ninety-four million, nine hundred ninety-eight thousand, nine hundred seventy-six".