272307868800 has 768 divisors, whose sum is σ = 1017603440640. Its totient is φ = 63406080000.

The previous prime is 272307868757. The next prime is 272307868853. The reversal of 272307868800 is 8868703272.

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, 631804585 + ... + 631805015.

It is an arithmetic number, because the mean of its divisors is an integer number (1325004480).

Almost surely, 2^272307868800 is an apocalyptic number.

272307868800 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 272307868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508801720320).

272307868800 is an abundant number, since it is smaller than the sum of its proper divisors (745295571840).

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

272307868800 is a wasteful number, since it uses less digits than its factorization.

272307868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 272307868800 in words is "two hundred seventy-two billion, three hundred seven million, eight hundred sixty-eight thousand, eight hundred".