7008197760 has 288 divisors, whose sum is σ = 25144739100. Its totient is φ = 1867732992.

The previous prime is 7008197723. The next prime is 7008197761. The reversal of 7008197760 is 677918007.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6987622464 + 20575296 = 83592^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7008197760² = 98229671686538035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7008197761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4198206 + ... + 4199874.

Almost surely, 2^7008197760 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 7008197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572369550).

7008197760 is an abundant number, since it is smaller than the sum of its proper divisors (18136541340).

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

7008197760 is an frugal number, since it uses more digits than its factorization.

7008197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 7008197760 is about 83714.9793047815. The cubic root of 7008197760 is about 1913.6776414883.

The spelling of 7008197760 in words is "seven billion, eight million, one hundred ninety-seven thousand, seven hundred sixty".