7117490815680 has 448 divisors, whose sum is σ = 26640372464640. Its totient is φ = 1575961214976.

The previous prime is 7117490815583. The next prime is 7117490815681. The reversal of 7117490815680 is 865180947117.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×7117490815680² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7117490815680.

It is not an unprimeable number, because it can be changed into a prime (7117490815681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56876059 + ... + 57001061.

Almost surely, 2^{7117490815680} is an apocalyptic number.

7117490815680 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 7117490815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320186232320).

7117490815680 is an abundant number, since it is smaller than the sum of its proper divisors (19522881648960).

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

7117490815680 is a wasteful number, since it uses less digits than its factorization.

7117490815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125296 (or 125286 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 57.

The spelling of 7117490815680 in words is "seven trillion, one hundred seventeen billion, four hundred ninety million, eight hundred fifteen thousand, six hundred eighty".