8642084000 has 192 divisors, whose sum is σ = 23563612800. Its totient is φ = 3088384000.

The previous prime is 8642083979. The next prime is 8642084027. The reversal of 8642084000 is 4802468.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2594336 + ... + 2597664.

It is an arithmetic number, because the mean of its divisors is an integer number (122727150).

Almost surely, 2^8642084000 is an apocalyptic number.

8642084000 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 8642084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11781806400).

8642084000 is an abundant number, since it is smaller than the sum of its proper divisors (14921528800).

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

8642084000 is a wasteful number, since it uses less digits than its factorization.

8642084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 8642084000 is about 92962.8097682078. The cubic root of 8642084000 is about 2052.1361037618.

Adding to 8642084000 its reverse (4802468), we get a palindrome (8646886468).

The spelling of 8642084000 in words is "eight billion, six hundred forty-two million, eighty-four thousand".