1007705667168 has 36 divisors (see below), whose sum is σ = 2865662991828. Its totient is φ = 335901888960.

The previous prime is 1007705667161. The next prime is 1007705667169. The reversal of 1007705667168 is 8617665077001.

1007705667168 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 7 + 0 + 566 + 71 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007705667161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1749488718 + ... + 1749489293.

It is an arithmetic number, because the mean of its divisors is an integer number (79601749773).

Almost surely, 2^{1007705667168} is an apocalyptic number.

1007705667168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1007705667168 is an abundant number, since it is smaller than the sum of its proper divisors (1857957324660).

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

1007705667168 is a wasteful number, since it uses less digits than its factorization.

1007705667168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498978027 (or 3498978016 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 1007705667168 in words is "one trillion, seven billion, seven hundred five million, six hundred sixty-seven thousand, one hundred sixty-eight".