275450779968 has 672 divisors, whose sum is σ = 962065843200. Its totient is φ = 67905257472.

The previous prime is 275450779921. The next prime is 275450779979. The reversal of 275450779968 is 869977054572.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×275450779968³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 358193088 + ... + 358193856.

It is an arithmetic number, because the mean of its divisors is an integer number (1431645600).

Almost surely, 2^275450779968 is an apocalyptic number.

275450779968 is a gapful number since it is divisible by the number (28) 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 275450779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481032921600).

275450779968 is an abundant number, since it is smaller than the sum of its proper divisors (686615063232).

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

275450779968 is a wasteful number, since it uses less digits than its factorization.

275450779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 69.

The spelling of 275450779968 in words is "two hundred seventy-five billion, four hundred fifty million, seven hundred seventy-nine thousand, nine hundred sixty-eight".