276049142640 has 320 divisors, whose sum is σ = 963420480000. Its totient is φ = 72642189312.

The previous prime is 276049142627. The next prime is 276049142647. The reversal of 276049142640 is 46241940672.

276049142640 is a `hidden beast` number, since 2 + 7 + 60 + 491 + 42 + 64 + 0 = 666.

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 (276049142647) 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 63 ways as a sum of consecutive naturals, for example, 126685071 + ... + 126687249.

It is an arithmetic number, because the mean of its divisors is an integer number (3010689000).

Almost surely, 2^276049142640 is an apocalyptic number.

276049142640 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 276049142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481710240000).

276049142640 is an abundant number, since it is smaller than the sum of its proper divisors (687371337360).

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

276049142640 is a wasteful number, since it uses less digits than its factorization.

276049142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 276049142640 in words is "two hundred seventy-six billion, forty-nine million, one hundred forty-two thousand, six hundred forty".