7160381835264 has 1440 divisors, whose sum is σ = 26598330158400. Its totient is φ = 1907924336640.

The previous prime is 7160381835251. The next prime is 7160381835317. The reversal of 7160381835264 is 4625381830617.

7160381835264 is a `hidden beast` number, since 7 + 1 + 6 + 0 + 38 + 1 + 83 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7160381835264.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10965362362 + ... + 10965363014.

It is an arithmetic number, because the mean of its divisors is an integer number (18471062610).

Almost surely, 2^{7160381835264} 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 7160381835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299165079200).

7160381835264 is an abundant number, since it is smaller than the sum of its proper divisors (19437948323136).

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

7160381835264 is a wasteful number, since it uses less digits than its factorization.

7160381835264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 7160381835264 in words is "seven trillion, one hundred sixty billion, three hundred eighty-one million, eight hundred thirty-five thousand, two hundred sixty-four".