6258666078720 has 2560 divisors, whose sum is σ = 27110121984000. Its totient is φ = 1350602588160.

The previous prime is 6258666078647. The next prime is 6258666078727. The reversal of 6258666078720 is 278706668526.

It is a tau number, because it is divible by the number of its divisors (2560).

It is not an unprimeable number, because it can be changed into a prime (6258666078727) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22115427699 + ... + 22115427981.

It is an arithmetic number, because the mean of its divisors is an integer number (10589891400).

Almost surely, 2^{6258666078720} is an apocalyptic number.

6258666078720 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 6258666078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555060992000).

6258666078720 is an abundant number, since it is smaller than the sum of its proper divisors (20851455905280).

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

6258666078720 is a wasteful number, since it uses less digits than its factorization.

6258666078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 6258666078720 in words is "six trillion, two hundred fifty-eight billion, six hundred sixty-six million, seventy-eight thousand, seven hundred twenty".