7124289480 has 384 divisors, whose sum is σ = 29068865280. Its totient is φ = 1470044160.

The previous prime is 7124289463. The next prime is 7124289499. The reversal of 7124289480 is 849824217.

7124289480 is a `hidden beast` number, since 71 + 24 + 2 + 89 + 480 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4351222 + ... + 4352858.

It is an arithmetic number, because the mean of its divisors is an integer number (75700170).

Almost surely, 2^7124289480 is an apocalyptic number.

7124289480 is a gapful number since it is divisible by the number (70) 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 7124289480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534432640).

7124289480 is an abundant number, since it is smaller than the sum of its proper divisors (21944575800).

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

7124289480 is a wasteful number, since it uses less digits than its factorization.

7124289480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7124289480 is about 84405.5062184926. The cubic root of 7124289480 is about 1924.1866000729.

The spelling of 7124289480 in words is "seven billion, one hundred twenty-four million, two hundred eighty-nine thousand, four hundred eighty".