276864148640 has 96 divisors (see below), whose sum is σ = 682688321280. Its totient is φ = 105906110464.

The previous prime is 276864148601. The next prime is 276864148703. The reversal of 276864148640 is 46841468672.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29203421 + ... + 29212899.

It is an arithmetic number, because the mean of its divisors is an integer number (7111336680).

Almost surely, 2^276864148640 is an apocalyptic number.

276864148640 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 276864148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341344160640).

276864148640 is an abundant number, since it is smaller than the sum of its proper divisors (405824172640).

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

276864148640 is a wasteful number, since it uses less digits than its factorization.

276864148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17454 (or 17446 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 56.

The spelling of 276864148640 in words is "two hundred seventy-six billion, eight hundred sixty-four million, one hundred forty-eight thousand, six hundred forty".