9993012480 has 648 divisors, whose sum is σ = 38931381216. Its totient is φ = 2364088320.

The previous prime is 9993012427. The next prime is 9993012493. The reversal of 9993012480 is 842103999.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93392587 + ... + 93392693.

It is an arithmetic number, because the mean of its divisors is an integer number (60079292).

Almost surely, 2^9993012480 is an apocalyptic number.

9993012480 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 9993012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465690608).

9993012480 is an abundant number, since it is smaller than the sum of its proper divisors (28938368736).

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

9993012480 is a wasteful number, since it uses less digits than its factorization.

9993012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9993012480 is about 99965.0562946873. The cubic root of 9993012480 is about 2153.9327679245.

The spelling of 9993012480 in words is "nine billion, nine hundred ninety-three million, twelve thousand, four hundred eighty".