6706649664000 has 3200 divisors, whose sum is σ = 29975528943360. Its totient is φ = 1469104128000.

The previous prime is 6706649663981. The next prime is 6706649664007. The reversal of 6706649664000 is 4669466076.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-3 number, since 3×6706649664000³ (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6706649664007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 61528895946 + ... + 61528896054.

Almost surely, 2^{6706649664000} is an apocalyptic number.

6706649664000 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 6706649664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987764471680).

6706649664000 is an abundant number, since it is smaller than the sum of its proper divisors (23268879279360).

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

6706649664000 is a wasteful number, since it uses less digits than its factorization.

6706649664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6706649664000 in words is "six trillion, seven hundred six billion, six hundred forty-nine million, six hundred sixty-four thousand".