272563028474976 has 288 divisors, whose sum is σ = 803186693382528. Its totient is φ = 87626757242880.

The previous prime is 272563028474941. The next prime is 272563028474977. The reversal of 272563028474976 is 679474820365272.

272563028474976 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 63 + 0 + 2 + 8 + 474 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272563028474977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305481666 + ... + 306372606.

It is an arithmetic number, because the mean of its divisors is an integer number (2788842685356).

Almost surely, 2^{272563028474976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272563028474976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401593346691264).

272563028474976 is an abundant number, since it is smaller than the sum of its proper divisors (530623664907552).

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

272563028474976 is a wasteful number, since it uses less digits than its factorization.

272563028474976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891334 (or 891323 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 272563028474976 in words is "two hundred seventy-two trillion, five hundred sixty-three billion, twenty-eight million, four hundred seventy-four thousand, nine hundred seventy-six".