6634827768944 has 80 divisors (see below), whose sum is σ = 13580574120960. Its totient is φ = 3135203850240.

The previous prime is 6634827768931. The next prime is 6634827768967. The reversal of 6634827768944 is 4498677284366.

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, 142639739 + ... + 142686245.

It is an arithmetic number, because the mean of its divisors is an integer number (169757176512).

Almost surely, 2^{6634827768944} 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 6634827768944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790287060480).

6634827768944 is an abundant number, since it is smaller than the sum of its proper divisors (6945746352016).

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

6634827768944 is a wasteful number, since it uses less digits than its factorization.

6634827768944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53278 (or 53272 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 74.

The spelling of 6634827768944 in words is "six trillion, six hundred thirty-four billion, eight hundred twenty-seven million, seven hundred sixty-eight thousand, nine hundred forty-four".