8995190400 has 768 divisors, whose sum is σ = 38247552000. Its totient is φ = 2022174720.

The previous prime is 8995190389. The next prime is 8995190401. The reversal of 8995190400 is 40915998.

8995190400 is a `hidden beast` number, since 8 + 99 + 519 + 0 + 40 + 0 = 666.

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 (8995190401) 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 95 ways as a sum of consecutive naturals, for example, 64713531 + ... + 64713669.

It is an arithmetic number, because the mean of its divisors is an integer number (49801500).

Almost surely, 2^8995190400 is an apocalyptic number.

8995190400 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 8995190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

8995190400 is an abundant number, since it is smaller than the sum of its proper divisors (29252361600).

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

8995190400 is a wasteful number, since it uses less digits than its factorization.

8995190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 8995190400 is about 94842.9775998202. The cubic root of 8995190400 is about 2079.7132247631.

The spelling of 8995190400 in words is "eight billion, nine hundred ninety-five million, one hundred ninety thousand, four hundred".