8012004000 has 1536 divisors, whose sum is σ = 38041436160. Its totient is φ = 1419264000.

The previous prime is 8012003981. The next prime is 8012004079. The reversal of 8012004000 is 4002108.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 276275986 + ... + 276276014.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^8012004000 is an apocalyptic number.

8012004000 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 8012004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020718080).

8012004000 is an abundant number, since it is smaller than the sum of its proper divisors (30029432160).

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

8012004000 is a wasteful number, since it uses less digits than its factorization.

8012004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8012004000 is about 89509.7983463263. The cubic root of 8012004000 is about 2000.9998334166. Note that the first 3 decimals are identical.

Adding to 8012004000 its reverse (4002108), we get a palindrome (8016006108).

The spelling of 8012004000 in words is "eight billion, twelve million, four thousand".