276667034724864 has 1280 divisors, whose sum is σ = 1025798744678400. Its totient is φ = 71861885337600.

The previous prime is 276667034724863. The next prime is 276667034724881. The reversal of 276667034724864 is 468427430766672.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 276667034724792 and 276667034724801.

It is not an unprimeable number, because it can be changed into a prime (276667034724863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4598288509 + ... + 4598348675.

It is an arithmetic number, because the mean of its divisors is an integer number (801405269280).

Almost surely, 2^{276667034724864} is an apocalyptic number.

276667034724864 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 276667034724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512899372339200).

276667034724864 is an abundant number, since it is smaller than the sum of its proper divisors (749131709953536).

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

276667034724864 is a wasteful number, since it uses less digits than its factorization.

276667034724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60322 (or 60300 counting only the distinct ones).

The product of its (nonzero) digits is 2731180032, while the sum is 72.

The spelling of 276667034724864 in words is "two hundred seventy-six trillion, six hundred sixty-seven billion, thirty-four million, seven hundred twenty-four thousand, eight hundred sixty-four".