276679893168 has 360 divisors, whose sum is σ = 912629744208. Its totient is φ = 78015135744.

The previous prime is 276679893167. The next prime is 276679893173. The reversal of 276679893168 is 861398976672.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 276679893096 and 276679893105.

It is not an unprimeable number, because it can be changed into a prime (276679893163) by changing a digit.

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, 186566955 + ... + 186568437.

Almost surely, 2^276679893168 is an apocalyptic number.

276679893168 is a gapful number since it is divisible by the number (28) 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 276679893168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456314872104).

276679893168 is an abundant number, since it is smaller than the sum of its proper divisors (635949851040).

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

276679893168 is a wasteful number, since it uses less digits than its factorization.

276679893168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1825 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 276679893168 in words is "two hundred seventy-six billion, six hundred seventy-nine million, eight hundred ninety-three thousand, one hundred sixty-eight".