1006634621663 has 64 divisors (see below), whose sum is σ = 1207214668800. Its totient is φ = 830032896000.

The previous prime is 1006634621651. The next prime is 1006634621687. The reversal of 1006634621663 is 3661264366001.

It is not a de Polignac number, because 1006634621663 - 2¹⁶ = 1006634556127 is a prime.

It is a super-2 number, since 2×1006634621663² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006634626663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54459383 + ... + 54477863.

It is an arithmetic number, because the mean of its divisors is an integer number (18862729200).

Almost surely, 2^{1006634621663} is an apocalyptic number.

1006634621663 is a deficient number, since it is larger than the sum of its proper divisors (200580047137).

1006634621663 is a wasteful number, since it uses less digits than its factorization.

1006634621663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18704.

The product of its (nonzero) digits is 559872, while the sum is 44.

Adding to 1006634621663 its reverse (3661264366001), we get a palindrome (4667898987664).

The spelling of 1006634621663 in words is "one trillion, six billion, six hundred thirty-four million, six hundred twenty-one thousand, six hundred sixty-three".