7778641368168 has 768 divisors, whose sum is σ = 26814845491200. Its totient is φ = 2003887226880.

The previous prime is 7778641368143. The next prime is 7778641368217. The reversal of 7778641368168 is 8618631468777.

7778641368168 is a `hidden beast` number, since 7 + 7 + 78 + 6 + 413 + 6 + 81 + 68 = 666.

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 = 7778641368096 and 7778641368105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1982827855 + ... + 1982831777.

It is an arithmetic number, because the mean of its divisors is an integer number (34915163400).

Almost surely, 2^{7778641368168} 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 7778641368168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13407422745600).

7778641368168 is an abundant number, since it is smaller than the sum of its proper divisors (19036204123032).

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

7778641368168 is a wasteful number, since it uses less digits than its factorization.

7778641368168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4335 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 7778641368168 in words is "seven trillion, seven hundred seventy-eight billion, six hundred forty-one million, three hundred sixty-eight thousand, one hundred sixty-eight".