276413828124672 has 1248 divisors, whose sum is σ = 988707432960000. Its totient is φ = 72654484930560.

The previous prime is 276413828124641. The next prime is 276413828124689. The reversal of 276413828124672 is 276421828314672.

276413828124672 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 1 + 382 + 8 + 1 + 246 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 23627127079 + ... + 23627138777.

It is an arithmetic number, because the mean of its divisors is an integer number (792233520000).

Almost surely, 2^{276413828124672} 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 276413828124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494353716480000).

276413828124672 is an abundant number, since it is smaller than the sum of its proper divisors (712293604835328).

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

276413828124672 is a wasteful number, since it uses less digits than its factorization.

276413828124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11870 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 276413828124672 in words is "two hundred seventy-six trillion, four hundred thirteen billion, eight hundred twenty-eight million, one hundred twenty-four thousand, six hundred seventy-two".