9963072800 has 54 divisors (see below), whose sum is σ = 24329245563. Its totient is φ = 3984099840.

The previous prime is 9963072761. The next prime is 9963072841. The reversal of 9963072800 is 82703699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 281299984 + 9681772816 = 16772^2 + 98396^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70580.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2821436 + ... + 2824964.

Almost surely, 2^9963072800 is an apocalyptic number.

It is an amenable number.

9963072800 is an abundant number, since it is smaller than the sum of its proper divisors (14366172763).

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

9963072800 is an frugal number, since it uses more digits than its factorization.

9963072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7078 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 9963072800 is about 99815.1932322930. The cubic root of 9963072800 is about 2151.7795110446.

The spelling of 9963072800 in words is "nine billion, nine hundred sixty-three million, seventy-two thousand, eight hundred".