276844813529064 has 128 divisors (see below), whose sum is σ = 764614577664000. Its totient is φ = 82827632160000.

The previous prime is 276844813529047. The next prime is 276844813529101. The reversal of 276844813529064 is 460925318448672.

It is a self number, because there is not a number n which added to its sum of digits gives 276844813529064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661989822 + ... + 662407890.

It is an arithmetic number, because the mean of its divisors is an integer number (5973551388000).

It is a 1-persistent number, because it is pandigital, but 2⋅276844813529064 = 553689627058128 is not.

Almost surely, 2^{276844813529064} is an apocalyptic number.

276844813529064 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 276844813529064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382307288832000).

276844813529064 is an abundant number, since it is smaller than the sum of its proper divisors (487769764134936).

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

276844813529064 is a wasteful number, since it uses less digits than its factorization.

276844813529064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449919 (or 449915 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 69.

The spelling of 276844813529064 in words is "two hundred seventy-six trillion, eight hundred forty-four billion, eight hundred thirteen million, five hundred twenty-nine thousand, sixty-four".