663867768366 has 384 divisors, whose sum is σ = 1748887096320. Its totient is φ = 179681587200.

The previous prime is 663867768259. The next prime is 663867768379.

663867768366 is a `hidden beast` number, since 6 + 63 + 86 + 77 + 68 + 366 = 666.

663867768366 is nontrivially palindromic in base 10.

663867768366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 663867768294 and 663867768303.

It is a congruent number.

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, 1227112056 + ... + 1227112596.

It is an arithmetic number, because the mean of its divisors is an integer number (4554393480).

Almost surely, 2^663867768366 is an apocalyptic number.

663867768366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 663867768366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874443548160).

663867768366 is an abundant number, since it is smaller than the sum of its proper divisors (1085019327954).

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

663867768366 is a wasteful number, since it uses less digits than its factorization.

663867768366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 837 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 663867768366 in words is "six hundred sixty-three billion, eight hundred sixty-seven million, seven hundred sixty-eight thousand, three hundred sixty-six".