9749224800 has 360 divisors, whose sum is σ = 40634492976. Its totient is φ = 2228290560.

The previous prime is 9749224799. The next prime is 9749224817. The reversal of 9749224800 is 84229479.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 442854 + ... + 464346.

Almost surely, 2^9749224800 is an apocalyptic number.

9749224800 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 9749224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317246488).

9749224800 is an abundant number, since it is smaller than the sum of its proper divisors (30885268176).

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

9749224800 is a wasteful number, since it uses less digits than its factorization.

9749224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21532 (or 21510 counting only the distinct ones).

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

The square root of 9749224800 is about 98738.1628348431. The cubic root of 9749224800 is about 2136.2727211431.

The spelling of 9749224800 in words is "nine billion, seven hundred forty-nine million, two hundred twenty-four thousand, eight hundred".