276378811568640 has 960 divisors, whose sum is σ = 1083219161536512. Its totient is φ = 66979171123200.

The previous prime is 276378811568611. The next prime is 276378811568653. The reversal of 276378811568640 is 46865118873672.

276378811568640 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 7 + 8 + 8 + 11 + 568 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×276378811568640³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33824351755 + ... + 33824359925.

Almost surely, 2^{276378811568640} is an apocalyptic number.

276378811568640 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 276378811568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541609580768256).

276378811568640 is an abundant number, since it is smaller than the sum of its proper divisors (806840349967872).

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

276378811568640 is an equidigital number, since it uses as much as digits as its factorization.

276378811568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13163 (or 13135 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 276378811568640 in words is "two hundred seventy-six trillion, three hundred seventy-eight billion, eight hundred eleven million, five hundred sixty-eight thousand, six hundred forty".