272688345600 has 960 divisors, whose sum is σ = 1030789203840. Its totient is φ = 62940774400.

The previous prime is 272688345593. The next prime is 272688345613. The reversal of 272688345600 is 6543886272.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1384204702 + ... + 1384204898.

It is an arithmetic number, because the mean of its divisors is an integer number (1073738754).

Almost surely, 2^272688345600 is an apocalyptic number.

272688345600 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 272688345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515394601920).

272688345600 is an abundant number, since it is smaller than the sum of its proper divisors (758100858240).

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

272688345600 is a wasteful number, since it uses less digits than its factorization.

272688345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 272688345600 in words is "two hundred seventy-two billion, six hundred eighty-eight million, three hundred forty-five thousand, six hundred".