276813276480 has 672 divisors, whose sum is σ = 1048597490304. Its totient is φ = 66611331072.

The previous prime is 276813276449. The next prime is 276813276499. The reversal of 276813276480 is 84672318672.

276813276480 is a `hidden beast` number, since 2 + 7 + 68 + 1 + 32 + 76 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408881902 + ... + 408882578.

It is an arithmetic number, because the mean of its divisors is an integer number (1560412932).

Almost surely, 2^276813276480 is an apocalyptic number.

276813276480 is a gapful number since it is divisible by the number (20) 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 276813276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524298745152).

276813276480 is an abundant number, since it is smaller than the sum of its proper divisors (771784213824).

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

276813276480 is a wasteful number, since it uses less digits than its factorization.

276813276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 276813276480 in words is "two hundred seventy-six billion, eight hundred thirteen million, two hundred seventy-six thousand, four hundred eighty".