7421785416 has 96 divisors (see below), whose sum is σ = 20561299200. Its totient is φ = 2417406720.

The previous prime is 7421785403. The next prime is 7421785417. The reversal of 7421785416 is 6145871247.

It is a super-2 number, since 2×7421785416² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7421785417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2736301 + ... + 2739011.

It is an arithmetic number, because the mean of its divisors is an integer number (214180200).

Almost surely, 2^7421785416 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 7421785416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10280649600).

7421785416 is an abundant number, since it is smaller than the sum of its proper divisors (13139513784).

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

7421785416 is a wasteful number, since it uses less digits than its factorization.

7421785416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3572 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 7421785416 is about 86149.7847704798. The cubic root of 7421785416 is about 1950.6055902127.

The spelling of 7421785416 in words is "seven billion, four hundred twenty-one million, seven hundred eighty-five thousand, four hundred sixteen".