276845397920 has 384 divisors, whose sum is σ = 835458624000. Its totient is φ = 86118875136.

The previous prime is 276845397911. The next prime is 276845397929. The reversal of 276845397920 is 29793548672.

It is a Cunningham number, because it is equal to 526161²-1.

It is an interprime number because it is at equal distance from previous prime (276845397911) and next prime (276845397929).

It is not an unprimeable number, because it can be changed into a prime (276845397929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42089672 + ... + 42096248.

It is an arithmetic number, because the mean of its divisors is an integer number (2175673500).

Almost surely, 2^276845397920 is an apocalyptic number.

276845397920 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 276845397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417729312000).

276845397920 is an abundant number, since it is smaller than the sum of its proper divisors (558613226080).

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

276845397920 is a wasteful number, since it uses less digits than its factorization.

276845397920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 62.

The spelling of 276845397920 in words is "two hundred seventy-six billion, eight hundred forty-five million, three hundred ninety-seven thousand, nine hundred twenty".