9599990400 has 1920 divisors, whose sum is σ = 48850623360. Its totient is φ = 1791590400.

The previous prime is 9599990383. The next prime is 9599990417. The reversal of 9599990400 is 40999959.

It is a happy number.

9599990400 is a `hidden beast` number, since 9 + 599 + 9 + 9 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9599990383) and next prime (9599990417).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 259459182 + ... + 259459218.

It is an arithmetic number, because the mean of its divisors is an integer number (25443033).

Almost surely, 2^9599990400 is an apocalyptic number.

9599990400 is a gapful number since it is divisible by the number (90) 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 9599990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24425311680).

9599990400 is an abundant number, since it is smaller than the sum of its proper divisors (39250632960).

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

9599990400 is a wasteful number, since it uses less digits than its factorization.

9599990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The square root of 9599990400 is about 97979.5407215200. The cubic root of 9599990400 is about 2125.3164299259.

It can be divided in two parts, 9599 and 990400, that added together give a palindrome (999999).

The spelling of 9599990400 in words is "nine billion, five hundred ninety-nine million, nine hundred ninety thousand, four hundred".