6706672473600 has 1440 divisors, whose sum is σ = 27311073229440. Its totient is φ = 1616412672000.

The previous prime is 6706672473583. The next prime is 6706672473623. The reversal of 6706672473600 is 63742766076.

It is a happy number.

6706672473600 is a `hidden beast` number, since 6 + 7 + 0 + 6 + 6 + 7 + 24 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7219237936 + ... + 7219238864.

It is an arithmetic number, because the mean of its divisors is an integer number (18966023076).

Almost surely, 2^{6706672473600} is an apocalyptic number.

6706672473600 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 6706672473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655536614720).

6706672473600 is an abundant number, since it is smaller than the sum of its proper divisors (20604400755840).

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

6706672473600 is a wasteful number, since it uses less digits than its factorization.

6706672473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 6706672473600 in words is "six trillion, seven hundred six billion, six hundred seventy-two million, four hundred seventy-three thousand, six hundred".