7409233920 has 416 divisors, whose sum is σ = 27270132480. Its totient is φ = 1698693120.

The previous prime is 7409233903. The next prime is 7409233921. The reversal of 7409233920 is 293329047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7409233921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12840672 + ... + 12841248.

Almost surely, 2^7409233920 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 7409233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13635066240).

7409233920 is an abundant number, since it is smaller than the sum of its proper divisors (19860898560).

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

7409233920 is a wasteful number, since it uses less digits than its factorization.

7409233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 7409233920 is about 86076.9070076289. The cubic root of 7409233920 is about 1949.5053682978.

The spelling of 7409233920 in words is "seven billion, four hundred nine million, two hundred thirty-three thousand, nine hundred twenty".