276964272000 has 1280 divisors, whose sum is σ = 1174156663680. Its totient is φ = 64099123200.

The previous prime is 276964271999. The next prime is 276964272001. The reversal of 276964272000 is 272469672.

It is an interprime number because it is at equal distance from previous prime (276964271999) and next prime (276964272001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276964272001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286415517 + ... + 286416483.

Almost surely, 2^276964272000 is an apocalyptic number.

276964272000 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 276964272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587078331840).

276964272000 is an abundant number, since it is smaller than the sum of its proper divisors (897192391680).

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

276964272000 is a wasteful number, since it uses less digits than its factorization.

276964272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 276964272000 in words is "two hundred seventy-six billion, nine hundred sixty-four million, two hundred seventy-two thousand".