6657315362880 has 2688 divisors, whose sum is σ = 28925088890880. Its totient is φ = 1260801884160.

The previous prime is 6657315362879. The next prime is 6657315362903. The reversal of 6657315362880 is 882635137566.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 84269814681 + ... + 84269814759.

It is an arithmetic number, because the mean of its divisors is an integer number (10760821760).

Almost surely, 2^{6657315362880} is an apocalyptic number.

6657315362880 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 6657315362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462544445440).

6657315362880 is an abundant number, since it is smaller than the sum of its proper divisors (22267773528000).

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

6657315362880 is a wasteful number, since it uses less digits than its factorization.

6657315362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 6657315362880 in words is "six trillion, six hundred fifty-seven billion, three hundred fifteen million, three hundred sixty-two thousand, eight hundred eighty".