6667981336800 has 864 divisors, whose sum is σ = 27178140487680. Its totient is φ = 1506843648000.

The previous prime is 6667981336787. The next prime is 6667981336813. The reversal of 6667981336800 is 86331897666.

It is an interprime number because it is at equal distance from previous prime (6667981336787) and next prime (6667981336813).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1697117236 + ... + 1697121164.

It is an arithmetic number, because the mean of its divisors is an integer number (31456181120).

Almost surely, 2^{6667981336800} is an apocalyptic number.

6667981336800 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 6667981336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589070243840).

6667981336800 is an abundant number, since it is smaller than the sum of its proper divisors (20510159150880).

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

6667981336800 is a wasteful number, since it uses less digits than its factorization.

6667981336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 6667981336800 in words is "six trillion, six hundred sixty-seven billion, nine hundred eighty-one million, three hundred thirty-six thousand, eight hundred".