1007705667164 has 48 divisors (see below), whose sum is σ = 2095382311680. Its totient is φ = 415051655040.

The previous prime is 1007705667161. The next prime is 1007705667169. The reversal of 1007705667164 is 4617665077001.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6473774 + ... + 6627605.

It is an arithmetic number, because the mean of its divisors is an integer number (43653798160).

Almost surely, 2^{1007705667164} is an apocalyptic number.

1007705667164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1007705667164 is an abundant number, since it is smaller than the sum of its proper divisors (1087676644516).

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

1007705667164 is a wasteful number, since it uses less digits than its factorization.

1007705667164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13101498 (or 13101496 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 1007705667164 in words is "one trillion, seven billion, seven hundred five million, six hundred sixty-seven thousand, one hundred sixty-four".