1006634432256 has 72 divisors (see below), whose sum is σ = 2702824818960. Its totient is φ = 332575358976.

The previous prime is 1006634432249. The next prime is 1006634432257. The reversal of 1006634432256 is 6522344366001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006634432257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5712871 + ... + 5886438.

Almost surely, 2^{1006634432256} is an apocalyptic number.

1006634432256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006634432256 is an abundant number, since it is smaller than the sum of its proper divisors (1696190386704).

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

1006634432256 is a wasteful number, since it uses less digits than its factorization.

1006634432256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11599441 (or 11599427 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 1006634432256 its reverse (6522344366001), we get a palindrome (7528978798257).

The spelling of 1006634432256 in words is "one trillion, six billion, six hundred thirty-four million, four hundred thirty-two thousand, two hundred fifty-six".