276543537761340 has 240 divisors, whose sum is σ = 905965072911360. Its totient is φ = 70482602044800.

The previous prime is 276543537761333. The next prime is 276543537761419. The reversal of 276543537761340 is 43167735345672.

276543537761340 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 4 + 3 + 5 + 3 + 7 + 7 + 613 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43962765 + ... + 49857915.

It is an arithmetic number, because the mean of its divisors is an integer number (3774854470464).

Almost surely, 2^{276543537761340} is an apocalyptic number.

276543537761340 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 276543537761340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452982536455680).

276543537761340 is an abundant number, since it is smaller than the sum of its proper divisors (629421535150020).

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

276543537761340 is a wasteful number, since it uses less digits than its factorization.

276543537761340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896454 (or 5896443 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 63.

The spelling of 276543537761340 in words is "two hundred seventy-six trillion, five hundred forty-three billion, five hundred thirty-seven million, seven hundred sixty-one thousand, three hundred forty".