8094199680 has 384 divisors, whose sum is σ = 32088775680. Its totient is φ = 1841688576.

The previous prime is 8094199669. The next prime is 8094199753. The reversal of 8094199680 is 869914908.

8094199680 = 5495² + 5496² + ... + 5750².

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14797167 + ... + 14797713.

It is an arithmetic number, because the mean of its divisors is an integer number (83564520).

Almost surely, 2^8094199680 is an apocalyptic number.

8094199680 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 8094199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044387840).

8094199680 is an abundant number, since it is smaller than the sum of its proper divisors (23994576000).

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

8094199680 is a wasteful number, since it uses less digits than its factorization.

8094199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 8094199680 is about 89967.7702291215. The cubic root of 8094199680 is about 2007.8193622789.

The spelling of 8094199680 in words is "eight billion, ninety-four million, one hundred ninety-nine thousand, six hundred eighty".