9213956400 has 720 divisors, whose sum is σ = 35337738240. Its totient is φ = 2044416000.

The previous prime is 9213956399. The next prime is 9213956417. The reversal of 9213956400 is 46593129.

It is a super-2 number, since 2×9213956400² (a number of 21 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 103527556 + ... + 103527644.

It is an arithmetic number, because the mean of its divisors is an integer number (49080192).

Almost surely, 2^9213956400 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 9213956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17668869120).

9213956400 is an abundant number, since it is smaller than the sum of its proper divisors (26123781840).

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

9213956400 is a wasteful number, since it uses less digits than its factorization.

9213956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 9213956400 is about 95989.3556598855. The cubic root of 9213956400 is about 2096.4381343766.

The spelling of 9213956400 in words is "nine billion, two hundred thirteen million, nine hundred fifty-six thousand, four hundred".