9407724480 has 896 divisors, whose sum is σ = 42135552000. Its totient is φ = 1919324160.

The previous prime is 9407724479. The next prime is 9407724499. The reversal of 9407724480 is 844277049.

9407724480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52557031 + ... + 52557209.

Almost surely, 2^9407724480 is an apocalyptic number.

9407724480 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 9407724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776000).

9407724480 is an abundant number, since it is smaller than the sum of its proper divisors (32727827520).

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

9407724480 is a wasteful number, since it uses less digits than its factorization.

9407724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 9407724480 is about 96993.4249317963. The cubic root of 9407724480 is about 2111.0322270637.

The spelling of 9407724480 in words is "nine billion, four hundred seven million, seven hundred twenty-four thousand, four hundred eighty".