7211168640 has 512 divisors, whose sum is σ = 28130457600. Its totient is φ = 1734746112.

The previous prime is 7211168639. The next prime is 7211168641. The reversal of 7211168640 is 468611127.

It is a happy number.

7211168640 is a `hidden beast` number, since 7 + 2 + 1 + 1 + 1 + 6 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (7211168639) and next prime (7211168641).

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

It is a junction number, because it is equal to n+sod(n) for n = 7211168595 and 7211168604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7211168641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10557739 + ... + 10558421.

It is an arithmetic number, because the mean of its divisors is an integer number (54942300).

Almost surely, 2^7211168640 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 7211168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

7211168640 is an abundant number, since it is smaller than the sum of its proper divisors (20919288960).

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

7211168640 is a wasteful number, since it uses less digits than its factorization.

7211168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7211168640 is about 84918.6000826674. The cubic root of 7211168640 is about 1931.9766981488.

Adding to 7211168640 its reverse (468611127), we get a palindrome (7679779767).

The spelling of 7211168640 in words is "seven billion, two hundred eleven million, one hundred sixty-eight thousand, six hundred forty".