7668234419616 has 240 divisors, whose sum is σ = 22619542020768. Its totient is φ = 2548440921600.

The previous prime is 7668234419581. The next prime is 7668234419627. The reversal of 7668234419616 is 6169144328667.

7668234419616 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 2 + 3 + 4 + 4 + 1 + 9 + 616 = 666.

It is a super-2 number, since 2×7668234419616² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1757557851 + ... + 1757562213.

Almost surely, 2^{7668234419616} 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 7668234419616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309771010384).

7668234419616 is an abundant number, since it is smaller than the sum of its proper divisors (14951307601152).

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

7668234419616 is a wasteful number, since it uses less digits than its factorization.

7668234419616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6240 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 7668234419616 in words is "seven trillion, six hundred sixty-eight billion, two hundred thirty-four million, four hundred nineteen thousand, six hundred sixteen".