7164244080 has 240 divisors, whose sum is σ = 27582609600. Its totient is φ = 1632448512.

The previous prime is 7164244049. The next prime is 7164244081. The reversal of 7164244080 is 804424617.

7164244080 is a `hidden beast` number, since 7 + 1 + 642 + 4 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7164244081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1756924 + ... + 1760996.

It is an arithmetic number, because the mean of its divisors is an integer number (114927540).

Almost surely, 2^7164244080 is an apocalyptic number.

7164244080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7164244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791304800).

7164244080 is an abundant number, since it is smaller than the sum of its proper divisors (20418365520).

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

7164244080 is a wasteful number, since it uses less digits than its factorization.

7164244080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7164244080 is about 84641.8577300853. The cubic root of 7164244080 is about 1927.7769853327.

Adding to 7164244080 its reverse (804424617), we get a palindrome (7968668697).

The spelling of 7164244080 in words is "seven billion, one hundred sixty-four million, two hundred forty-four thousand, eighty".