1003664200064 has 128 divisors (see below), whose sum is σ = 2137092763680. Its totient is φ = 467873464320.

The previous prime is 1003664199977. The next prime is 1003664200079. The reversal of 1003664200064 is 4600024663001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1003664200064.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106530074 + ... + 106539494.

Almost surely, 2^{1003664200064} 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 1003664200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068546381840).

1003664200064 is an abundant number, since it is smaller than the sum of its proper divisors (1133428563616).

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

1003664200064 is a wasteful number, since it uses less digits than its factorization.

1003664200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 1003664200064 its reverse (4600024663001), we get a palindrome (5603688863065).

The spelling of 1003664200064 in words is "one trillion, three billion, six hundred sixty-four million, two hundred thousand, sixty-four".