276265164240 has 640 divisors, whose sum is σ = 1082740700160. Its totient is φ = 65034731520.

The previous prime is 276265164239. The next prime is 276265164277. The reversal of 276265164240 is 42461562672.

276265164240 is a `hidden beast` number, since 2 + 7 + 626 + 5 + 16 + 4 + 2 + 4 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52310400 + ... + 52315680.

It is an arithmetic number, because the mean of its divisors is an integer number (1691782344).

Almost surely, 2^276265164240 is an apocalyptic number.

276265164240 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 276265164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541370350080).

276265164240 is an abundant number, since it is smaller than the sum of its proper divisors (806475535920).

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

276265164240 is a wasteful number, since it uses less digits than its factorization.

276265164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 276265164240 in words is "two hundred seventy-six billion, two hundred sixty-five million, one hundred sixty-four thousand, two hundred forty".