276382679040 has 952 divisors, whose sum is σ = 1083050158680. Its totient is φ = 67268247552.

The previous prime is 276382679011. The next prime is 276382679047. The reversal of 276382679040 is 40976283672.

It can be written as a sum of positive squares in 4 ways, for example, as 429981696 + 275952697344 = 20736^2 + 525312^2 .

It is a super-3 number, since 3×276382679040³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (276382679047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3105423316 + ... + 3105423404.

Almost surely, 2^276382679040 is an apocalyptic number.

276382679040 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 276382679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541525079340).

276382679040 is an abundant number, since it is smaller than the sum of its proper divisors (806667479640).

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

276382679040 is an frugal number, since it uses more digits than its factorization.

276382679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 276382679040 in words is "two hundred seventy-six billion, three hundred eighty-two million, six hundred seventy-nine thousand, forty".