9124980480 has 1008 divisors, whose sum is σ = 41178783744. Its totient is φ = 1881169920.

The previous prime is 9124980467. The next prime is 9124980493. The reversal of 9124980480 is 840894219.

9124980480 is a `hidden beast` number, since 91 + 2 + 4 + 9 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (9124980467) and next prime (9124980493).

It is a tau number, because it is divible by the number of its divisors (1008).

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 111 ways as a sum of consecutive naturals, for example, 71850177 + ... + 71850303.

It is an arithmetic number, because the mean of its divisors is an integer number (40851968).

Almost surely, 2^9124980480 is an apocalyptic number.

9124980480 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 9124980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20589391872).

9124980480 is an abundant number, since it is smaller than the sum of its proper divisors (32053803264).

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

9124980480 is a wasteful number, since it uses less digits than its factorization.

9124980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9124980480 is about 95524.7637003097. The cubic root of 9124980480 is about 2089.6681081311.

The spelling of 9124980480 in words is "nine billion, one hundred twenty-four million, nine hundred eighty thousand, four hundred eighty".