9954326400 has 192 divisors, whose sum is σ = 34213345920. Its totient is φ = 2539018240.

The previous prime is 9954326399. The next prime is 9954326441. The reversal of 9954326400 is 46234599.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9954326400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198259 + ... + 243341.

It is an arithmetic number, because the mean of its divisors is an integer number (178194510).

Almost surely, 2^9954326400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9954326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106672960).

9954326400 is an abundant number, since it is smaller than the sum of its proper divisors (24259019520).

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

9954326400 is a wasteful number, since it uses less digits than its factorization.

9954326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45133 (or 45116 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 9954326400 is about 99771.3706430858. The cubic root of 9954326400 is about 2151.1496573599.

The spelling of 9954326400 in words is "nine billion, nine hundred fifty-four million, three hundred twenty-six thousand, four hundred".