272816647992 has 512 divisors, whose sum is σ = 909788774400. Its totient is φ = 74117721600.

The previous prime is 272816647981. The next prime is 272816648059. The reversal of 272816647992 is 299746618272.

272816647992 is a `hidden beast` number, since 2 + 72 + 8 + 1 + 6 + 6 + 479 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 964016283 + ... + 964016565.

It is an arithmetic number, because the mean of its divisors is an integer number (1776931200).

Almost surely, 2^272816647992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272816647992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454894387200).

272816647992 is an abundant number, since it is smaller than the sum of its proper divisors (636972126408).

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

272816647992 is a wasteful number, since it uses less digits than its factorization.

272816647992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 614 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 272816647992 in words is "two hundred seventy-two billion, eight hundred sixteen million, six hundred forty-seven thousand, nine hundred ninety-two".