8004360000 has 560 divisors, whose sum is σ = 32615859584. Its totient is φ = 1686528000.

The previous prime is 8004359971. The next prime is 8004360041. The reversal of 8004360000 is 634008.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10919634 + ... + 10920366.

Almost surely, 2^8004360000 is an apocalyptic number.

8004360000 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 8004360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307929792).

8004360000 is an abundant number, since it is smaller than the sum of its proper divisors (24611499584).

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

8004360000 is a wasteful number, since it uses less digits than its factorization.

8004360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 8004360000 is about 89467.0889210105. The cubic root of 8004360000 is about 2000.3632673478.

Adding to 8004360000 its reverse (634008), we get a palindrome (8004994008).

The spelling of 8004360000 in words is "eight billion, four million, three hundred sixty thousand".