7117740564480 has 2016 divisors, whose sum is σ = 32746001730624. Its totient is φ = 1412633198592.

The previous prime is 7117740564437. The next prime is 7117740564481. The reversal of 7117740564480 is 844650477117.

7117740564480 is a `hidden beast` number, since 7 + 1 + 1 + 7 + 74 + 0 + 564 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7117740564481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3992001669 + ... + 3992003451.

It is an arithmetic number, because the mean of its divisors is an integer number (16243056414).

Almost surely, 2^{7117740564480} is an apocalyptic number.

7117740564480 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 7117740564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373000865312).

7117740564480 is an abundant number, since it is smaller than the sum of its proper divisors (25628261166144).

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

7117740564480 is a wasteful number, since it uses less digits than its factorization.

7117740564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 7117740564480 in words is "seven trillion, one hundred seventeen billion, seven hundred forty million, five hundred sixty-four thousand, four hundred eighty".