272404274688 has 1440 divisors, whose sum is σ = 1072806710976. Its totient is φ = 65696956416.

The previous prime is 272404274663. The next prime is 272404274689. The reversal of 272404274688 is 886472404272.

272404274688 is a `hidden beast` number, since 272 + 40 + 4 + 274 + 68 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272404274689) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2644701645 + ... + 2644701747.

Almost surely, 2^272404274688 is an apocalyptic number.

272404274688 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 272404274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536403355488).

272404274688 is an abundant number, since it is smaller than the sum of its proper divisors (800402436288).

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

272404274688 is a wasteful number, since it uses less digits than its factorization.

272404274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 272404274688 in words is "two hundred seventy-two billion, four hundred four million, two hundred seventy-four thousand, six hundred eighty-eight".