276791993856 has 320 divisors, whose sum is σ = 937611417600. Its totient is φ = 78978613248.

The previous prime is 276791993851. The next prime is 276791993857. The reversal of 276791993856 is 658399197672.

276791993856 is a `hidden beast` number, since 2 + 76 + 7 + 91 + 99 + 385 + 6 = 666.

It is a super-2 number, since 2×276791993856² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276791993851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100540576 + ... + 100543328.

It is an arithmetic number, because the mean of its divisors is an integer number (2930035680).

Almost surely, 2^276791993856 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 276791993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468805708800).

276791993856 is an abundant number, since it is smaller than the sum of its proper divisors (660819423744).

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

276791993856 is a wasteful number, since it uses less digits than its factorization.

276791993856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3804 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 276791993856 in words is "two hundred seventy-six billion, seven hundred ninety-one million, nine hundred ninety-three thousand, eight hundred fifty-six".