7001316000 has 840 divisors, whose sum is σ = 30088353204. Its totient is φ = 1600300800.

The previous prime is 7001315927. The next prime is 7001316011. The reversal of 7001316000 is 6131007.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4732889616 + 2268426384 = 68796^2 + 47628^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1000187997 + ... + 1000188003.

Almost surely, 2^7001316000 is an apocalyptic number.

7001316000 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 7001316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044176602).

7001316000 is an abundant number, since it is smaller than the sum of its proper divisors (23087037204).

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

7001316000 is an frugal number, since it uses more digits than its factorization.

7001316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 7001316000 is about 83673.8668880553. The cubic root of 7001316000 is about 1913.0510522817.

Adding to 7001316000 its reverse (6131007), we get a palindrome (7007447007).

The spelling of 7001316000 in words is "seven billion, one million, three hundred sixteen thousand".