7643808000 has 432 divisors, whose sum is σ = 28552358016. Its totient is φ = 2036275200.

The previous prime is 7643807999. The next prime is 7643808013. The reversal of 7643808000 is 8083467.

7643808000 is a `hidden beast` number, since 7 + 643 + 8 + 0 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775509 + ... + 7776491.

Almost surely, 2^7643808000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7643808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276179008).

7643808000 is an abundant number, since it is smaller than the sum of its proper divisors (20908550016).

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

7643808000 is an frugal number, since it uses more digits than its factorization.

7643808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7643808000 is about 87428.8739490564. The cubic root of 7643808000 is about 1969.8655718350.

The spelling of 7643808000 in words is "seven billion, six hundred forty-three million, eight hundred eight thousand".