6510040328448 has 216 divisors, whose sum is σ = 19288146707648. Its totient is φ = 2110181953536.

The previous prime is 6510040328431. The next prime is 6510040328483. The reversal of 6510040328448 is 8448230400156.

6510040328448 is a `hidden beast` number, since 65 + 100 + 40 + 3 + 2 + 8 + 448 = 666.

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 23 ways as a sum of consecutive naturals, for example, 159137565 + ... + 159178467.

Almost surely, 2^{6510040328448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6510040328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644073353824).

6510040328448 is an abundant number, since it is smaller than the sum of its proper divisors (12778106379200).

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

6510040328448 is a wasteful number, since it uses less digits than its factorization.

6510040328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42829 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 6510040328448 in words is "six trillion, five hundred ten billion, forty million, three hundred twenty-eight thousand, four hundred forty-eight".