7151316480 has 960 divisors, whose sum is σ = 32172940800. Its totient is φ = 1424424960.

The previous prime is 7151316421. The next prime is 7151316521. The reversal of 7151316480 is 846131517.

7151316480 is a `hidden beast` number, since 7 + 1 + 5 + 1 + 3 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×7151316480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51448251 + ... + 51448389.

It is an arithmetic number, because the mean of its divisors is an integer number (33513480).

Almost surely, 2^7151316480 is an apocalyptic number.

7151316480 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 7151316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

7151316480 is an abundant number, since it is smaller than the sum of its proper divisors (25021624320).

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

7151316480 is a wasteful number, since it uses less digits than its factorization.

7151316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7151316480 is about 84565.4567775756. The cubic root of 7151316480 is about 1926.6167543067.

Adding to 7151316480 its reverse (846131517), we get a palindrome (7997447997).

The spelling of 7151316480 in words is "seven billion, one hundred fifty-one million, three hundred sixteen thousand, four hundred eighty".