6471740620800 has 2754 divisors, whose sum is σ = 29753041240962. Its totient is φ = 1339702640640.

The previous prime is 6471740620769. The next prime is 6471740620817. The reversal of 6471740620800 is 80260471746.

6471740620800 is a `hidden beast` number, since 6 + 4 + 7 + 17 + 4 + 0 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 3400217985024 + 3071522635776 = 1843968^2 + 1752576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 122108313574 + ... + 122108313626.

Almost surely, 2^{6471740620800} is an apocalyptic number.

6471740620800 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 6471740620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876520620481).

6471740620800 is an abundant number, since it is smaller than the sum of its proper divisors (23281300620162).

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

6471740620800 is a wasteful number, since it uses less digits than its factorization.

6471740620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 6471740620800 in words is "six trillion, four hundred seventy-one billion, seven hundred forty million, six hundred twenty thousand, eight hundred".