7717985650368 has 1344 divisors, whose sum is σ = 30139165324800. Its totient is φ = 1917957242880.

The previous prime is 7717985650367. The next prime is 7717985650399. The reversal of 7717985650368 is 8630565897177.

7717985650368 is a `hidden beast` number, since 7 + 7 + 1 + 7 + 9 + 8 + 56 + 503 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7717985650296 and 7717985650305.

It is not an unprimeable number, because it can be changed into a prime (7717985650363) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1121307855 + ... + 1121314737.

It is an arithmetic number, because the mean of its divisors is an integer number (22424974200).

Almost surely, 2^{7717985650368} 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 7717985650368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069582662400).

7717985650368 is an abundant number, since it is smaller than the sum of its proper divisors (22421179674432).

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

7717985650368 is a wasteful number, since it uses less digits than its factorization.

7717985650368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 7717985650368 in words is "seven trillion, seven hundred seventeen billion, nine hundred eighty-five million, six hundred fifty thousand, three hundred sixty-eight".