276823717080642 has 80 divisors (see below), whose sum is σ = 640357102176000. Its totient is φ = 89289945686880.

The previous prime is 276823717080641. The next prime is 276823717080679. The reversal of 276823717080642 is 246080717328672.

276823717080642 is a `hidden beast` number, since 2 + 7 + 6 + 82 + 371 + 70 + 80 + 6 + 42 = 666.

276823717080642 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×276823717080642² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 276823717080642.

It is not an unprimeable number, because it can be changed into a prime (276823717080641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53518209 + ... + 58462347.

It is an arithmetic number, because the mean of its divisors is an integer number (8004463777200).

Almost surely, 2^{276823717080642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276823717080642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320178551088000).

276823717080642 is an abundant number, since it is smaller than the sum of its proper divisors (363533385095358).

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

276823717080642 is a wasteful number, since it uses less digits than its factorization.

276823717080642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955333 (or 4955324 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 276823717080642 in words is "two hundred seventy-six trillion, eight hundred twenty-three billion, seven hundred seventeen million, eighty thousand, six hundred forty-two".