7241836320 has 384 divisors, whose sum is σ = 27027302400. Its totient is φ = 1805773824.

The previous prime is 7241836319. The next prime is 7241836337. The reversal of 7241836320 is 236381427.

It is a happy number.

7241836320 is a `hidden beast` number, since 7 + 2 + 4 + 18 + 3 + 632 + 0 = 666.

It is a super-2 number, since 2×7241836320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 6812109 + ... + 6813171.

It is an arithmetic number, because the mean of its divisors is an integer number (70383600).

Almost surely, 2^7241836320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7241836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513651200).

7241836320 is an abundant number, since it is smaller than the sum of its proper divisors (19785466080).

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

7241836320 is a wasteful number, since it uses less digits than its factorization.

7241836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7241836320 is about 85098.9795473483. The cubic root of 7241836320 is about 1934.7115969424.

The spelling of 7241836320 in words is "seven billion, two hundred forty-one million, eight hundred thirty-six thousand, three hundred twenty".