8919936000 has 704 divisors, whose sum is σ = 34487856000. Its totient is φ = 2270822400.

The previous prime is 8919935977. The next prime is 8919936007. The reversal of 8919936000 is 6399198.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8919936007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 100223956 + ... + 100224044.

Almost surely, 2^8919936000 is an apocalyptic number.

8919936000 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 8919936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243928000).

8919936000 is an abundant number, since it is smaller than the sum of its proper divisors (25567920000).

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

8919936000 is a wasteful number, since it uses less digits than its factorization.

8919936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 8919936000 is about 94445.4128054931. The cubic root of 8919936000 is about 2073.8972996227.

The spelling of 8919936000 in words is "eight billion, nine hundred nineteen million, nine hundred thirty-six thousand".