272684093440 has 208 divisors, whose sum is σ = 725588398656. Its totient is φ = 97527398400.

The previous prime is 272684093389. The next prime is 272684093453. The reversal of 272684093440 is 44390486272.

It is a super-2 number, since 2×272684093440² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13732159 + ... + 13752001.

Almost surely, 2^272684093440 is an apocalyptic number.

272684093440 is a gapful number since it is divisible by the number (20) 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 272684093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362794199328).

272684093440 is an abundant number, since it is smaller than the sum of its proper divisors (452904305216).

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

272684093440 is a wasteful number, since it uses less digits than its factorization.

272684093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19944 (or 19922 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 272684093440 in words is "two hundred seventy-two billion, six hundred eighty-four million, ninety-three thousand, four hundred forty".