276460116480 has 240 divisors, whose sum is σ = 983339443944. Its totient is φ = 71729971200.

The previous prime is 276460116479. The next prime is 276460116487. The reversal of 276460116480 is 84611064672.

276460116480 is a `hidden beast` number, since 2 + 76 + 460 + 116 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212203950336 + 64256166144 = 460656^2 + 253488^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (276460116487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690330 + ... + 1014630.

Almost surely, 2^276460116480 is an apocalyptic number.

276460116480 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 276460116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491669721972).

276460116480 is an abundant number, since it is smaller than the sum of its proper divisors (706879327464).

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

276460116480 is a wasteful number, since it uses less digits than its factorization.

276460116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324367 (or 324348 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 276460116480 in words is "two hundred seventy-six billion, four hundred sixty million, one hundred sixteen thousand, four hundred eighty".