7650440116704 has 720 divisors, whose sum is σ = 28865879691264. Its totient is φ = 1944821767680.

The previous prime is 7650440116643. The next prime is 7650440116729. The reversal of 7650440116704 is 4076110440567.

7650440116704 is a `hidden beast` number, since 76 + 504 + 4 + 0 + 1 + 1 + 6 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7650440116704.

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 119 ways as a sum of consecutive naturals, for example, 103147857 + ... + 103221999.

Almost surely, 2^{7650440116704} 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 7650440116704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432939845632).

7650440116704 is an abundant number, since it is smaller than the sum of its proper divisors (21215439574560).

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

7650440116704 is a wasteful number, since it uses less digits than its factorization.

7650440116704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74241 (or 74213 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 7650440116704 in words is "seven trillion, six hundred fifty billion, four hundred forty million, one hundred sixteen thousand, seven hundred four".