9249720480 has 1920 divisors, whose sum is σ = 47210397696. Its totient is φ = 1642291200.

The previous prime is 9249720397. The next prime is 9249720481. The reversal of 9249720480 is 840279429.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9249720481) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 298378065 + ... + 298378095.

Almost surely, 2^9249720480 is an apocalyptic number.

9249720480 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 9249720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23605198848).

9249720480 is an abundant number, since it is smaller than the sum of its proper divisors (37960677216).

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

9249720480 is a wasteful number, since it uses less digits than its factorization.

9249720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

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

The square root of 9249720480 is about 96175.4671420940. The cubic root of 9249720480 is about 2099.1470822046.

The spelling of 9249720480 in words is "nine billion, two hundred forty-nine million, seven hundred twenty thousand, four hundred eighty".