6758471623680 has 1320 divisors, whose sum is σ = 28519132961088. Its totient is φ = 1525800665088.

The previous prime is 6758471623679. The next prime is 6758471623691. The reversal of 6758471623680 is 863261748576.

6758471623680 is a `hidden beast` number, since 6 + 7 + 58 + 471 + 6 + 2 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1686664237 + ... + 1686668243.

Almost surely, 2^{6758471623680} is an apocalyptic number.

6758471623680 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 6758471623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259566480544).

6758471623680 is an abundant number, since it is smaller than the sum of its proper divisors (21760661337408).

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

6758471623680 is a wasteful number, since it uses less digits than its factorization.

6758471623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4107 counting only the distinct ones).

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

The spelling of 6758471623680 in words is "six trillion, seven hundred fifty-eight billion, four hundred seventy-one million, six hundred twenty-three thousand, six hundred eighty".