4102781667768 has 224 divisors, whose sum is σ = 13956866235360. Its totient is φ = 1103268833280.

The previous prime is 4102781667707. The next prime is 4102781667791. The reversal of 4102781667768 is 8677661872014.

4102781667768 is a `hidden beast` number, since 410 + 27 + 81 + 6 + 67 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2261853 + ... + 3649868.

Almost surely, 2^{4102781667768} is an apocalyptic number.

It is an amenable number.

4102781667768 is an abundant number, since it is smaller than the sum of its proper divisors (9854084567592).

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

4102781667768 is a wasteful number, since it uses less digits than its factorization.

4102781667768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911769 (or 5911750 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 4102781667768 in words is "four trillion, one hundred two billion, seven hundred eighty-one million, six hundred sixty-seven thousand, seven hundred sixty-eight".