7424093880 has 480 divisors, whose sum is σ = 29377909440. Its totient is φ = 1676505600.

The previous prime is 7424093867. The next prime is 7424093881. The reversal of 7424093880 is 883904247.

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 (7424093881) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 16034529 + ... + 16034991.

It is an arithmetic number, because the mean of its divisors is an integer number (61203978).

Almost surely, 2^7424093880 is an apocalyptic number.

7424093880 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 7424093880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688954720).

7424093880 is an abundant number, since it is smaller than the sum of its proper divisors (21953815560).

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

7424093880 is a wasteful number, since it uses less digits than its factorization.

7424093880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7424093880 is about 86163.1816961282. The cubic root of 7424093880 is about 1950.8078073232.

The spelling of 7424093880 in words is "seven billion, four hundred twenty-four million, ninety-three thousand, eight hundred eighty".