8164800000 has 840 divisors, whose sum is σ = 34939607472. Its totient is φ = 1866240000.

The previous prime is 8164799987. The next prime is 8164800011. The reversal of 8164800000 is 84618.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1166399997 + ... + 1166400003.

Almost surely, 2^8164800000 is an apocalyptic number.

8164800000 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 8164800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17469803736).

8164800000 is an abundant number, since it is smaller than the sum of its proper divisors (26774807472).

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

8164800000 is an frugal number, since it uses more digits than its factorization.

8164800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8164800000 is about 90359.2828656802. The cubic root of 8164800000 is about 2013.6400957465.

Adding to 8164800000 its reverse (84618), we get a palindrome (8164884618).

The spelling of 8164800000 in words is "eight billion, one hundred sixty-four million, eight hundred thousand".