6671660916960 has 336 divisors, whose sum is σ = 25449731121024. Its totient is φ = 1642254621696.

The previous prime is 6671660916919. The next prime is 6671660916967. The reversal of 6671660916960 is 696190661766.

6671660916960 is a `hidden beast` number, since 6 + 6 + 7 + 1 + 6 + 609 + 16 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×6671660916960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6671660916967) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 683632 + ... + 3716271.

It is an arithmetic number, because the mean of its divisors is an integer number (75743247384).

Almost surely, 2^{6671660916960} is an apocalyptic number.

6671660916960 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 6671660916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724865560512).

6671660916960 is an abundant number, since it is smaller than the sum of its proper divisors (18778070204064).

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

6671660916960 is a wasteful number, since it uses less digits than its factorization.

6671660916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399949 (or 4399926 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 6671660916960 in words is "six trillion, six hundred seventy-one billion, six hundred sixty million, nine hundred sixteen thousand, nine hundred sixty".