7766417216064 has 448 divisors, whose sum is σ = 22773554818560. Its totient is φ = 2334947696640.

The previous prime is 7766417215981. The next prime is 7766417216069. The reversal of 7766417216064 is 4606127146677.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7766417215995 and 7766417216013.

It is not an unprimeable number, because it can be changed into a prime (7766417216069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6952924434 + ... + 6952925550.

It is an arithmetic number, because the mean of its divisors is an integer number (50833827720).

Almost surely, 2^{7766417216064} 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 7766417216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386777409280).

7766417216064 is an abundant number, since it is smaller than the sum of its proper divisors (15007137602496).

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

7766417216064 is a wasteful number, since it uses less digits than its factorization.

7766417216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 7766417216064 in words is "seven trillion, seven hundred sixty-six billion, four hundred seventeen million, two hundred sixteen thousand, sixty-four".