8039964000 has 384 divisors, whose sum is σ = 28021593600. Its totient is φ = 2009548800.

The previous prime is 8039963957. The next prime is 8039964011. The reversal of 8039964000 is 4699308.

It is a super-2 number, since 2×8039964000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8039964000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40811902 + ... + 40812098.

It is an arithmetic number, because the mean of its divisors is an integer number (72972900).

Almost surely, 2^8039964000 is an apocalyptic number.

8039964000 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 8039964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14010796800).

8039964000 is an abundant number, since it is smaller than the sum of its proper divisors (19981629600).

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

8039964000 is a wasteful number, since it uses less digits than its factorization.

8039964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 8039964000 is about 89665.8463407333. The cubic root of 8039964000 is about 2003.3248031127.

The spelling of 8039964000 in words is "eight billion, thirty-nine million, nine hundred sixty-four thousand".