276045142464 has 504 divisors, whose sum is σ = 1025435043360. Its totient is φ = 70289952768.

The previous prime is 276045142459. The next prime is 276045142507. The reversal of 276045142464 is 464241540672.

It is a happy number.

276045142464 is a `hidden beast` number, since 2 + 7 + 6 + 0 + 45 + 142 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10627477 + ... + 10653419.

It is an arithmetic number, because the mean of its divisors is an integer number (2034593340).

Almost surely, 2^276045142464 is an apocalyptic number.

276045142464 is a gapful number since it is divisible by the number (24) 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 276045142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512717521680).

276045142464 is an abundant number, since it is smaller than the sum of its proper divisors (749389900896).

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

276045142464 is a wasteful number, since it uses less digits than its factorization.

276045142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26017 (or 25997 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 276045142464 in words is "two hundred seventy-six billion, forty-five million, one hundred forty-two thousand, four hundred sixty-four".