1006324411680 has 576 divisors, whose sum is σ = 4135949475840. Its totient is φ = 217661810688.

The previous prime is 1006324411633. The next prime is 1006324411681. The reversal of 1006324411680 is 861144236001.

1006324411680 is a `hidden beast` number, since 1 + 0 + 0 + 632 + 4 + 4 + 1 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1006324411681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203583289 + ... + 203588231.

It is an arithmetic number, because the mean of its divisors is an integer number (7180467840).

Almost surely, 2^{1006324411680} is an apocalyptic number.

1006324411680 is a gapful number since it is divisible by the number (10) 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 1006324411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067974737920).

1006324411680 is an abundant number, since it is smaller than the sum of its proper divisors (3129625064160).

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

1006324411680 is a wasteful number, since it uses less digits than its factorization.

1006324411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 1006324411680 its reverse (861144236001), we get a palindrome (1867468647681).

The spelling of 1006324411680 in words is "one trillion, six billion, three hundred twenty-four million, four hundred eleven thousand, six hundred eighty".