272904606720 has 1056 divisors, whose sum is σ = 1064640114720. Its totient is φ = 64298680320.

The previous prime is 272904606683. The next prime is 272904606727. The reversal of 272904606720 is 27606409272.

272904606720 is a `hidden beast` number, since 27 + 2 + 90 + 460 + 67 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 25426215936 + 247478390784 = 159456^2 + 497472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272904606727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 931414894 + ... + 931415186.

Almost surely, 2^272904606720 is an apocalyptic number.

272904606720 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 272904606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532320057360).

272904606720 is an abundant number, since it is smaller than the sum of its proper divisors (791735508000).

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

272904606720 is a wasteful number, since it uses less digits than its factorization.

272904606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 272904606720 in words is "two hundred seventy-two billion, nine hundred four million, six hundred six thousand, seven hundred twenty".