272346060800 has 576 divisors, whose sum is σ = 801398707200. Its totient is φ = 90685440000.

The previous prime is 272346060799. The next prime is 272346060997. The reversal of 272346060800 is 8060643272.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331724390 + ... + 331725210.

It is an arithmetic number, because the mean of its divisors is an integer number (1391317200).

Almost surely, 2^272346060800 is an apocalyptic number.

272346060800 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 272346060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400699353600).

272346060800 is an abundant number, since it is smaller than the sum of its proper divisors (529052646400).

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

272346060800 is a wasteful number, since it uses less digits than its factorization.

272346060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 272346060800 in words is "two hundred seventy-two billion, three hundred forty-six million, sixty thousand, eight hundred".