8969004000 has 864 divisors, whose sum is σ = 36704041920. Its totient is φ = 2069760000.

The previous prime is 8969003993. The next prime is 8969004013. The reversal of 8969004000 is 4009698.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 126323965 + ... + 126324035.

It is an arithmetic number, because the mean of its divisors is an integer number (42481530).

Almost surely, 2^8969004000 is an apocalyptic number.

8969004000 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 8969004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352020960).

8969004000 is an abundant number, since it is smaller than the sum of its proper divisors (27735037920).

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

8969004000 is a wasteful number, since it uses less digits than its factorization.

8969004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8969004000 is about 94704.8256426250. The cubic root of 8969004000 is about 2077.6931402151.

The spelling of 8969004000 in words is "eight billion, nine hundred sixty-nine million, four thousand".