276968073420 has 288 divisors, whose sum is σ = 875363973120. Its totient is φ = 70845166080.

The previous prime is 276968073397. The next prime is 276968073457. The reversal of 276968073420 is 24370869672.

276968073420 is a `hidden beast` number, since 2 + 76 + 9 + 6 + 80 + 73 + 420 = 666.

276968073420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×276968073420² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71993937 + ... + 71997783.

It is an arithmetic number, because the mean of its divisors is an integer number (3039458240).

Almost surely, 2^276968073420 is an apocalyptic number.

276968073420 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 276968073420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437681986560).

276968073420 is an abundant number, since it is smaller than the sum of its proper divisors (598395899700).

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

276968073420 is a wasteful number, since it uses less digits than its factorization.

276968073420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 276968073420 in words is "two hundred seventy-six billion, nine hundred sixty-eight million, seventy-three thousand, four hundred twenty".