6730477400400 has 480 divisors, whose sum is σ = 24074479968000. Its totient is φ = 1595913338880.

The previous prime is 6730477400359. The next prime is 6730477400401. The reversal of 6730477400400 is 40047740376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6730477400401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198586656 + ... + 198620544.

It is an arithmetic number, because the mean of its divisors is an integer number (50155166600).

Almost surely, 2^{6730477400400} is an apocalyptic number.

6730477400400 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 6730477400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037239984000).

6730477400400 is an abundant number, since it is smaller than the sum of its proper divisors (17344002567600).

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

6730477400400 is a wasteful number, since it uses less digits than its factorization.

6730477400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34391 (or 34380 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 6730477400400 in words is "six trillion, seven hundred thirty billion, four hundred seventy-seven million, four hundred thousand, four hundred".