6667170816000 has 896 divisors, whose sum is σ = 23365343379456. Its totient is φ = 1684950220800.

The previous prime is 6667170815971. The next prime is 6667170816001. The reversal of 6667170816000 is 6180717666.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6667170816001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8973311629 + ... + 8973312371.

Almost surely, 2^{6667170816000} is an apocalyptic number.

6667170816000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6667170816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682671689728).

6667170816000 is an abundant number, since it is smaller than the sum of its proper divisors (16698172563456).

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

6667170816000 is a wasteful number, since it uses less digits than its factorization.

6667170816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 6667170816000 in words is "six trillion, six hundred sixty-seven billion, one hundred seventy million, eight hundred sixteen thousand".