6484145409000 has 768 divisors, whose sum is σ = 27274912704000. Its totient is φ = 1355661619200.

The previous prime is 6484145408959. The next prime is 6484145409013. The reversal of 6484145409000 is 9045414846.

6484145409000 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 14 + 540 + 90 + 0 + 0 = 666.

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

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, 34619604 + ... + 34806396.

It is an arithmetic number, because the mean of its divisors is an integer number (35514209250).

Almost surely, 2^{6484145409000} is an apocalyptic number.

6484145409000 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 6484145409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637456352000).

6484145409000 is an abundant number, since it is smaller than the sum of its proper divisors (20790767295000).

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

6484145409000 is a wasteful number, since it uses less digits than its factorization.

6484145409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186875 (or 186858 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6484145409000 in words is "six trillion, four hundred eighty-four billion, one hundred forty-five million, four hundred nine thousand".