276684416064 has 567 divisors, whose sum is σ = 962797330053. Its totient is φ = 75745152000.

The previous prime is 276684416017. The next prime is 276684416087. The reversal of 276684416064 is 460614486672.

It is a happy number.

The square root of 276684416064 is 526008.

It is a perfect power (a square), and thus also a powerful number.

276684416064 is a `hidden beast` number, since 27 + 6 + 6 + 8 + 4 + 4 + 1 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 265835110464 + 10849305600 = 515592^2 + 104160^2 .

It is a super-2 number, since 2×276684416064² (a number of 24 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 276684416064.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2739449614 + ... + 2739449714.

Almost surely, 2^276684416064 is an apocalyptic number.

276684416064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

276684416064 is the 526008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276684416064

276684416064 is an abundant number, since it is smaller than the sum of its proper divisors (686112913989).

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

276684416064 is a wasteful number, since it uses less digits than its factorization.

276684416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 276684416064 in words is "two hundred seventy-six billion, six hundred eighty-four million, four hundred sixteen thousand, sixty-four".