275673645426816 has 1024 divisors, whose sum is σ = 1012554340761600. Its totient is φ = 71897478266880.

The previous prime is 275673645426811. The next prime is 275673645426869. The reversal of 275673645426816 is 618624546376572.

275673645426816 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 7 + 3 + 6 + 4 + 542 + 68 + 16 = 666.

It is a super-2 number, since 2×275673645426816² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (275673645426811) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 12421637416 + ... + 12421659608.

It is an arithmetic number, because the mean of its divisors is an integer number (988822598400).

Almost surely, 2^{275673645426816} is an apocalyptic number.

275673645426816 is a gapful number since it is divisible by the number (26) 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 275673645426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506277170380800).

275673645426816 is an abundant number, since it is smaller than the sum of its proper divisors (736880695334784).

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

275673645426816 is a wasteful number, since it uses less digits than its factorization.

275673645426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22674 (or 22656 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 275673645426816 in words is "two hundred seventy-five trillion, six hundred seventy-three billion, six hundred forty-five million, four hundred twenty-six thousand, eight hundred sixteen".