6481716626880 has 336 divisors, whose sum is σ = 25751827636704. Its totient is φ = 1478894223360.

The previous prime is 6481716626831. The next prime is 6481716626953. The reversal of 6481716626880 is 886266171846.

6481716626880 is a `hidden beast` number, since 6 + 481 + 7 + 16 + 6 + 2 + 68 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5479077 + ... + 6556196.

Almost surely, 2^{6481716626880} is an apocalyptic number.

6481716626880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6481716626880 is an abundant number, since it is smaller than the sum of its proper divisors (19270111009824).

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

6481716626880 is a wasteful number, since it uses less digits than its factorization.

6481716626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035324 (or 12035311 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 6481716626880 in words is "six trillion, four hundred eighty-one billion, seven hundred sixteen million, six hundred twenty-six thousand, eight hundred eighty".