1006341624464 has 40 divisors (see below), whose sum is σ = 2238989746080. Its totient is φ = 433352851200.

The previous prime is 1006341624461. The next prime is 1006341624503. The reversal of 1006341624464 is 4644261436001.

It is not an unprimeable number, because it can be changed into a prime (1006341624461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150466397 + ... + 150473084.

It is an arithmetic number, because the mean of its divisors is an integer number (55974743652).

Almost surely, 2^{1006341624464} is an apocalyptic number.

It is an amenable number.

1006341624464 is an abundant number, since it is smaller than the sum of its proper divisors (1232648121616).

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

1006341624464 is a wasteful number, since it uses less digits than its factorization.

1006341624464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300939519 (or 300939513 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 1006341624464 in words is "one trillion, six billion, three hundred forty-one million, six hundred twenty-four thousand, four hundred sixty-four".