272808640944 has 480 divisors, whose sum is σ = 925132216320. Its totient is φ = 73423853568.

The previous prime is 272808640933. The next prime is 272808640967. The reversal of 272808640944 is 449046808272.

It is a super-2 number, since 2×272808640944² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156157479 + ... + 156159225.

It is an arithmetic number, because the mean of its divisors is an integer number (1927358784).

Almost surely, 2^272808640944 is an apocalyptic number.

272808640944 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 272808640944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462566108160).

272808640944 is an abundant number, since it is smaller than the sum of its proper divisors (652323575376).

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

272808640944 is a wasteful number, since it uses less digits than its factorization.

272808640944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 272808640944 in words is "two hundred seventy-two billion, eight hundred eight million, six hundred forty thousand, nine hundred forty-four".