272268864000 has 1920 divisors, whose sum is σ = 1210131546624. Its totient is φ = 59719680000.

The previous prime is 272268863989. The next prime is 272268864017. The reversal of 272268864000 is 468862272.

272268864000 is a `hidden beast` number, since 272 + 268 + 86 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4463423970 + ... + 4463424030.

Almost surely, 2^272268864000 is an apocalyptic number.

272268864000 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 272268864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605065773312).

272268864000 is an abundant number, since it is smaller than the sum of its proper divisors (937862682624).

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

272268864000 is an frugal number, since it uses more digits than its factorization.

272268864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 272268864000 in words is "two hundred seventy-two billion, two hundred sixty-eight million, eight hundred sixty-four thousand".