6997166131968 has 108 divisors (see below), whose sum is σ = 20692501595080. Its totient is φ = 2332315404288.

The previous prime is 6997166131951. The next prime is 6997166132059. The reversal of 6997166131968 is 8691316617996.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6997166131968 is a `hidden beast` number, since 6 + 9 + 97 + 166 + 1 + 319 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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 = 6997166131896 and 6997166131905.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219903196 + ... + 219935012.

Almost surely, 2^{6997166131968} is an apocalyptic number.

It is an amenable number.

6997166131968 is an abundant number, since it is smaller than the sum of its proper divisors (13695335463112).

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

6997166131968 is an frugal number, since it uses more digits than its factorization.

6997166131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63659 (or 31822 counting only the distinct ones).

The product of its digits is 158723712, while the sum is 72.

The spelling of 6997166131968 in words is "six trillion, nine hundred ninety-seven billion, one hundred sixty-six million, one hundred thirty-one thousand, nine hundred sixty-eight".