276665566672 has 80 divisors (see below), whose sum is σ = 598946040000. Its totient is φ = 122743019520.

The previous prime is 276665566633. The next prime is 276665566679.

276665566672 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276665566679) 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, 1177704 + ... + 1392952.

It is an arithmetic number, because the mean of its divisors is an integer number (7486825500).

Almost surely, 2^276665566672 is an apocalyptic number.

276665566672 is a gapful number since it is divisible by the number (22) 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 276665566672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299473020000).

276665566672 is an abundant number, since it is smaller than the sum of its proper divisors (322280473328).

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

276665566672 is a wasteful number, since it uses less digits than its factorization.

276665566672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215444 (or 215438 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 64.

The spelling of 276665566672 in words is "two hundred seventy-six billion, six hundred sixty-five million, five hundred sixty-six thousand, six hundred seventy-two".