7224126000 has 640 divisors, whose sum is σ = 29170132992. Its totient is φ = 1497600000.

The previous prime is 7224125981. The next prime is 7224126017. The reversal of 7224126000 is 6214227.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 55145935 + ... + 55146065.

Almost surely, 2^7224126000 is an apocalyptic number.

7224126000 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 7224126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585066496).

7224126000 is an abundant number, since it is smaller than the sum of its proper divisors (21946006992).

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

7224126000 is a wasteful number, since it uses less digits than its factorization.

7224126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7224126000 is about 84994.8586680394. The cubic root of 7224126000 is about 1933.1331606731.

The spelling of 7224126000 in words is "seven billion, two hundred twenty-four million, one hundred twenty-six thousand".