6706420941600 has 288 divisors, whose sum is σ = 25309451341440. Its totient is φ = 1710623185920.

The previous prime is 6706420941529. The next prime is 6706420941601. The reversal of 6706420941600 is 61490246076.

6706420941600 is a `hidden beast` number, since 67 + 0 + 6 + 420 + 9 + 4 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6706420941600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6706420941601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6252819 + ... + 7246418.

It is an arithmetic number, because the mean of its divisors is an integer number (87880039380).

Almost surely, 2^{6706420941600} is an apocalyptic number.

6706420941600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6706420941600 is an abundant number, since it is smaller than the sum of its proper divisors (18603030399840).

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

6706420941600 is a wasteful number, since it uses less digits than its factorization.

6706420941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13499289 (or 13499270 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6706420941600 in words is "six trillion, seven hundred six billion, four hundred twenty million, nine hundred forty-one thousand, six hundred".