276068632680000 has 420 divisors, whose sum is σ = 1011805220599888. Its totient is φ = 71906244480000.

The previous prime is 276068632679971. The next prime is 276068632680019. The reversal of 276068632680000 is 86236860672.

It is a happy number.

276068632680000 is a `hidden beast` number, since 2 + 7 + 606 + 8 + 6 + 3 + 26 + 8 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6563055 + ... + 24396945.

Almost surely, 2^{276068632680000} is an apocalyptic number.

276068632680000 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 276068632680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505902610299944).

276068632680000 is an abundant number, since it is smaller than the sum of its proper divisors (735736587919888).

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

276068632680000 is a wasteful number, since it uses less digits than its factorization.

276068632680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17833972 (or 17833944 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 276068632680000 in words is "two hundred seventy-six trillion, sixty-eight billion, six hundred thirty-two million, six hundred eighty thousand".