8394100000 has 288 divisors, whose sum is σ = 24308569152. Its totient is φ = 2812800000.

The previous prime is 8394099997. The next prime is 8394100009. The reversal of 8394100000 is 14938.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8394100009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14299707 + ... + 14300293.

It is an arithmetic number, because the mean of its divisors is an integer number (84404754).

Almost surely, 2^8394100000 is an apocalyptic number.

8394100000 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 8394100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12154284576).

8394100000 is an abundant number, since it is smaller than the sum of its proper divisors (15914469152).

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

8394100000 is a wasteful number, since it uses less digits than its factorization.

8394100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 8394100000 is about 91619.3211064129. The cubic root of 8394100000 is about 2032.3166705304.

Adding to 8394100000 its reverse (14938), we get a palindrome (8394114938).

The spelling of 8394100000 in words is "eight billion, three hundred ninety-four million, one hundred thousand".