846627726648 has 64 divisors (see below), whose sum is σ = 2336803862400. Its totient is φ = 253462839680.

The previous prime is 846627726641. The next prime is 846627726649.

846627726648 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846627726641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19296903 + ... + 19340726.

It is an arithmetic number, because the mean of its divisors is an integer number (36512560350).

Almost surely, 2^846627726648 is an apocalyptic number.

846627726648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

846627726648 is an abundant number, since it is smaller than the sum of its proper divisors (1490176135752).

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

846627726648 is a wasteful number, since it uses less digits than its factorization.

846627726648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38637732 (or 38637728 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 66.

The spelling of 846627726648 in words is "eight hundred forty-six billion, six hundred twenty-seven million, seven hundred twenty-six thousand, six hundred forty-eight".