7109661896064 has 768 divisors, whose sum is σ = 25743961152000. Its totient is φ = 1871427317760.

The previous prime is 7109661896047. The next prime is 7109661896083. The reversal of 7109661896064 is 4606981669017.

7109661896064 is a `hidden beast` number, since 7 + 1 + 0 + 9 + 6 + 6 + 18 + 9 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7109661895992 and 7109661896010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3549505687 + ... + 3549507689.

It is an arithmetic number, because the mean of its divisors is an integer number (33520782750).

Almost surely, 2^{7109661896064} 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 7109661896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871980576000).

7109661896064 is an abundant number, since it is smaller than the sum of its proper divisors (18634299255936).

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

7109661896064 is a wasteful number, since it uses less digits than its factorization.

7109661896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 7109661896064 in words is "seven trillion, one hundred nine billion, six hundred sixty-one million, eight hundred ninety-six thousand, sixty-four".