7045441920 has 768 divisors, whose sum is σ = 29145692160. Its totient is φ = 1548288000.

The previous prime is 7045441901. The next prime is 7045441933. The reversal of 7045441920 is 291445407.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33390615 + ... + 33390825.

It is an arithmetic number, because the mean of its divisors is an integer number (37950120).

Almost surely, 2^7045441920 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 7045441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572846080).

7045441920 is an abundant number, since it is smaller than the sum of its proper divisors (22100250240).

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

7045441920 is a wasteful number, since it uses less digits than its factorization.

7045441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7045441920 is about 83937.1307586815. The cubic root of 7045441920 is about 1917.0616513080.

The spelling of 7045441920 in words is "seven billion, forty-five million, four hundred forty-one thousand, nine hundred twenty".