9992624400 has 720 divisors, whose sum is σ = 41124957120. Its totient is φ = 2285107200.

The previous prime is 9992624371. The next prime is 9992624423. The reversal of 9992624400 is 44262999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42886684 + ... + 42886916.

It is an arithmetic number, because the mean of its divisors is an integer number (57117996).

Almost surely, 2^9992624400 is an apocalyptic number.

9992624400 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 9992624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20562478560).

9992624400 is an abundant number, since it is smaller than the sum of its proper divisors (31132332720).

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

9992624400 is a wasteful number, since it uses less digits than its factorization.

9992624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9992624400 is about 99963.1151975567. The cubic root of 9992624400 is about 2153.9048848062.

The spelling of 9992624400 in words is "nine billion, nine hundred ninety-two million, six hundred twenty-four thousand, four hundred".