6710670621600 has 288 divisors, whose sum is σ = 23840627227200. Its totient is φ = 1626034176000.

The previous prime is 6710670621581. The next prime is 6710670621601. The reversal of 6710670621600 is 61260760176.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6710670621601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54877326 + ... + 54999474.

It is an arithmetic number, because the mean of its divisors is an integer number (82779955650).

Almost surely, 2^{6710670621600} is an apocalyptic number.

6710670621600 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 6710670621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920313613600).

6710670621600 is an abundant number, since it is smaller than the sum of its proper divisors (17129956605600).

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

6710670621600 is a wasteful number, since it uses less digits than its factorization.

6710670621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124264 (or 124251 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 6710670621600 in words is "six trillion, seven hundred ten billion, six hundred seventy million, six hundred twenty-one thousand, six hundred".