7438417920 has 600 divisors, whose sum is σ = 28546610400. Its totient is φ = 1847328768.

The previous prime is 7438417913. The next prime is 7438417927. The reversal of 7438417920 is 297148347.

It is an interprime number because it is at equal distance from previous prime (7438417913) and next prime (7438417927).

It is a super-2 number, since 2×7438417920² (a number of 21 digits) contains 22 as substring.

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 (7438417927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126074851 + ... + 126074909.

It is an arithmetic number, because the mean of its divisors is an integer number (47577684).

Almost surely, 2^7438417920 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 7438417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273305200).

7438417920 is an abundant number, since it is smaller than the sum of its proper divisors (21108192480).

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

7438417920 is an equidigital number, since it uses as much as digits as its factorization.

7438417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7438417920 is about 86246.2632234000. The cubic root of 7438417920 is about 1952.0616302319.

The spelling of 7438417920 in words is "seven billion, four hundred thirty-eight million, four hundred seventeen thousand, nine hundred twenty".