272763961344 has 360 divisors, whose sum is σ = 919075029600. Its totient is φ = 77918109696.

The previous prime is 272763961343. The next prime is 272763961357. The reversal of 272763961344 is 443169367272.

It is a happy number.

272763961344 is a `hidden beast` number, since 27 + 276 + 3 + 9 + 6 + 1 + 344 = 666.

272763961344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×272763961344² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272763961343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50574712 + ... + 50580104.

Almost surely, 2^272763961344 is an apocalyptic number.

272763961344 is a gapful number since it is divisible by the number (24) 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 272763961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459537514800).

272763961344 is an abundant number, since it is smaller than the sum of its proper divisors (646311068256).

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

272763961344 is an frugal number, since it uses more digits than its factorization.

272763961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5405 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 272763961344 in words is "two hundred seventy-two billion, seven hundred sixty-three million, nine hundred sixty-one thousand, three hundred forty-four".