276318813672 has 128 divisors (see below), whose sum is σ = 873735552000. Its totient is φ = 80092393920.

The previous prime is 276318813647. The next prime is 276318813691.

It is a happy number.

276318813672 is a `hidden beast` number, since 276 + 3 + 1 + 8 + 8 + 1 + 367 + 2 = 666.

276318813672 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2473522 + ... + 2582817.

It is an arithmetic number, because the mean of its divisors is an integer number (6826059000).

Almost surely, 2^276318813672 is an apocalyptic number.

276318813672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

276318813672 is an abundant number, since it is smaller than the sum of its proper divisors (597416738328).

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

276318813672 is a wasteful number, since it uses less digits than its factorization.

276318813672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056388 (or 5056378 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 276318813672 in words is "two hundred seventy-six billion, three hundred eighteen million, eight hundred thirteen thousand, six hundred seventy-two".