272822621568 has 384 divisors, whose sum is σ = 908256307200. Its totient is φ = 70991216640.

The previous prime is 272822621557. The next prime is 272822621569. The reversal of 272822621568 is 865126228272.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×272822621568² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 272822621568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272822621569) 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, 24076128 + ... + 24087456.

It is an arithmetic number, because the mean of its divisors is an integer number (2365250800).

Almost surely, 2^272822621568 is an apocalyptic number.

272822621568 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 272822621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454128153600).

272822621568 is an abundant number, since it is smaller than the sum of its proper divisors (635433685632).

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

272822621568 is a wasteful number, since it uses less digits than its factorization.

272822621568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 11389 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 272822621568 in words is "two hundred seventy-two billion, eight hundred twenty-two million, six hundred twenty-one thousand, five hundred sixty-eight".