9001863936 has 576 divisors, whose sum is σ = 31152522240. Its totient is φ = 2539192320.

The previous prime is 9001863887. The next prime is 9001863961. The reversal of 9001863936 is 6393681009.

9001863936 is a `hidden beast` number, since 9 + 0 + 0 + 1 + 8 + 639 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 9001863891 and 9001863900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108456151 + ... + 108456233.

It is an arithmetic number, because the mean of its divisors is an integer number (54084240).

Almost surely, 2^9001863936 is an apocalyptic number.

9001863936 is a gapful number since it is divisible by the number (96) 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 9001863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576261120).

9001863936 is an abundant number, since it is smaller than the sum of its proper divisors (22150658304).

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

9001863936 is a wasteful number, since it uses less digits than its factorization.

9001863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9001863936 is about 94878.1531017547. The cubic root of 9001863936 is about 2080.2274110332.

The spelling of 9001863936 in words is "nine billion, one million, eight hundred sixty-three thousand, nine hundred thirty-six".