7306411640 has 256 divisors, whose sum is σ = 19670169600. Its totient is φ = 2412748800.

The previous prime is 7306411603. The next prime is 7306411643. The reversal of 7306411640 is 461146037.

It is a junction number, because it is equal to n+sod(n) for n = 7306411597 and 7306411606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7306411643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30570641 + ... + 30570879.

It is an arithmetic number, because the mean of its divisors is an integer number (76836600).

Almost surely, 2^7306411640 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 7306411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835084800).

7306411640 is an abundant number, since it is smaller than the sum of its proper divisors (12363757960).

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

7306411640 is a wasteful number, since it uses less digits than its factorization.

7306411640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 7306411640 is about 85477.5505030414. The cubic root of 7306411640 is about 1940.4451842608.

Adding to 7306411640 its reverse (461146037), we get a palindrome (7767557677).

The spelling of 7306411640 in words is "seven billion, three hundred six million, four hundred eleven thousand, six hundred forty".