6758913756720 has 320 divisors, whose sum is σ = 22436643962880. Its totient is φ = 1677216006144.

The previous prime is 6758913756671. The next prime is 6758913756733. The reversal of 6758913756720 is 276573198576.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151798621 + ... + 151843139.

It is an arithmetic number, because the mean of its divisors is an integer number (70114512384).

Almost surely, 2^{6758913756720} is an apocalyptic number.

6758913756720 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 6758913756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218321981440).

6758913756720 is an abundant number, since it is smaller than the sum of its proper divisors (15677730206160).

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

6758913756720 is a wasteful number, since it uses less digits than its factorization.

6758913756720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44972 (or 44966 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 66.

The spelling of 6758913756720 in words is "six trillion, seven hundred fifty-eight billion, nine hundred thirteen million, seven hundred fifty-six thousand, seven hundred twenty".