7398241920 has 448 divisors, whose sum is σ = 26950625640. Its totient is φ = 1940889600.

The previous prime is 7398241919. The next prime is 7398241927. The reversal of 7398241920 is 291428937.

It can be written as a sum of positive squares in 4 ways, for example, as 6843921984 + 554319936 = 82728^2 + 23544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7398241927) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 47122482 + ... + 47122638.

Almost surely, 2^7398241920 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 7398241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475312820).

7398241920 is an abundant number, since it is smaller than the sum of its proper divisors (19552383720).

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

7398241920 is a wasteful number, since it uses less digits than its factorization.

7398241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7398241920 is about 86013.0334309865. The cubic root of 7398241920 is about 1948.5408255398.

The spelling of 7398241920 in words is "seven billion, three hundred ninety-eight million, two hundred forty-one thousand, nine hundred twenty".