6675066434400 has 1728 divisors, whose sum is σ = 28167347799360. Its totient is φ = 1360016179200.

The previous prime is 6675066434389. The next prime is 6675066434401. The reversal of 6675066434400 is 44346605766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6675066434401) 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 287 ways as a sum of consecutive naturals, for example, 6832206712 + ... + 6832207688.

It is an arithmetic number, because the mean of its divisors is an integer number (16300548495).

Almost surely, 2^{6675066434400} is an apocalyptic number.

6675066434400 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 6675066434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083673899680).

6675066434400 is an abundant number, since it is smaller than the sum of its proper divisors (21492281364960).

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

6675066434400 is a wasteful number, since it uses less digits than its factorization.

6675066434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 51.

The spelling of 6675066434400 in words is "six trillion, six hundred seventy-five billion, sixty-six million, four hundred thirty-four thousand, four hundred".