9722948400 has 300 divisors, whose sum is σ = 38068538904. Its totient is φ = 2356992000.

The previous prime is 9722948387. The next prime is 9722948441. The reversal of 9722948400 is 48492279.

It is a tau number, because it is divible by the number of its divisors (300).

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

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 59 ways as a sum of consecutive naturals, for example, 342760 + ... + 370040.

Almost surely, 2^9722948400 is an apocalyptic number.

9722948400 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 9722948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034269452).

9722948400 is an abundant number, since it is smaller than the sum of its proper divisors (28345590504).

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

9722948400 is a wasteful number, since it uses less digits than its factorization.

9722948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27322 (or 27302 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9722948400 is about 98605.0120429991. The cubic root of 9722948400 is about 2134.3517457399.

The spelling of 9722948400 in words is "nine billion, seven hundred twenty-two million, nine hundred forty-eight thousand, four hundred".