1000662024960 has 1152 divisors, whose sum is σ = 4000709099520. Its totient is φ = 238102364160.

The previous prime is 1000662024937. The next prime is 1000662024977. The reversal of 1000662024960 is 694202660001.

1000662024960 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 620 + 24 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 127 ways as a sum of consecutive naturals, for example, 1128141637 + ... + 1128142523.

It is an arithmetic number, because the mean of its divisors is an integer number (3472837760).

Almost surely, 2^{1000662024960} is an apocalyptic number.

1000662024960 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 1000662024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000354549760).

1000662024960 is an abundant number, since it is smaller than the sum of its proper divisors (3000047074560).

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

1000662024960 is an frugal number, since it uses more digits than its factorization.

1000662024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 1000662024960 its reverse (694202660001), we get a palindrome (1694864684961).

The spelling of 1000662024960 in words is "one trillion, six hundred sixty-two million, twenty-four thousand, nine hundred sixty".