6475840866000 has 960 divisors, whose sum is σ = 25636959129600. Its totient is φ = 1561380480000.

The previous prime is 6475840865971. The next prime is 6475840866013. The reversal of 6475840866000 is 6680485746.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1247991406 + ... + 1247996594.

It is an arithmetic number, because the mean of its divisors is an integer number (26705165760).

Almost surely, 2^{6475840866000} is an apocalyptic number.

6475840866000 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 6475840866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818479564800).

6475840866000 is an abundant number, since it is smaller than the sum of its proper divisors (19161118263600).

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

6475840866000 is a wasteful number, since it uses less digits than its factorization.

6475840866000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 6475840866000 in words is "six trillion, four hundred seventy-five billion, eight hundred forty million, eight hundred sixty-six thousand".