276557120640 has 1280 divisors, whose sum is σ = 1105590435840. Its totient is φ = 65558937600.

The previous prime is 276557120627. The next prime is 276557120641. The reversal of 276557120640 is 46021755672.

276557120640 is a `hidden beast` number, since 2 + 76 + 5 + 571 + 2 + 0 + 6 + 4 + 0 = 666.

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 (276557120641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1447942945 + ... + 1447943135.

It is an arithmetic number, because the mean of its divisors is an integer number (863742528).

Almost surely, 2^276557120640 is an apocalyptic number.

276557120640 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 276557120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552795217920).

276557120640 is an abundant number, since it is smaller than the sum of its proper divisors (829033315200).

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

276557120640 is a wasteful number, since it uses less digits than its factorization.

276557120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 276557120640 in words is "two hundred seventy-six billion, five hundred fifty-seven million, one hundred twenty thousand, six hundred forty".