7438223520 has 1440 divisors, whose sum is σ = 35476954128. Its totient is φ = 1449197568.

The previous prime is 7438223519. The next prime is 7438223521. The reversal of 7438223520 is 253228347.

It is an interprime number because it is at equal distance from previous prime (7438223519) and next prime (7438223521).

It can be written as a sum of positive squares in 8 ways, for example, as 3688375824 + 3749847696 = 60732^2 + 61236^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7438223521) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140343814 + ... + 140343866.

Almost surely, 2^7438223520 is an apocalyptic number.

7438223520 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 7438223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738477064).

7438223520 is an abundant number, since it is smaller than the sum of its proper divisors (28038730608).

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

7438223520 is a wasteful number, since it uses less digits than its factorization.

7438223520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7438223520 is about 86245.1362106873. The cubic root of 7438223520 is about 1952.0446246405.

The spelling of 7438223520 in words is "seven billion, four hundred thirty-eight million, two hundred twenty-three thousand, five hundred twenty".