272997890064 has 45 divisors (see below), whose sum is σ = 764032475869. Its totient is φ = 90997206720.

The previous prime is 272997890027. The next prime is 272997890069. The reversal of 272997890064 is 460098799272.

The square root of 272997890064 is 522492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29277947664 + 243719942400 = 171108^2 + 493680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 272997889983 and 272997890010.

It is not an unprimeable number, because it can be changed into a prime (272997890069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6248134 + ... + 6291674.

Almost surely, 2^272997890064 is an apocalyptic number.

272997890064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

272997890064 is the 522492-nd square number.

It is an amenable number.

272997890064 is an abundant number, since it is smaller than the sum of its proper divisors (491034585805).

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

272997890064 is an frugal number, since it uses more digits than its factorization.

272997890064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87096 (or 43546 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 272997890064 in words is "two hundred seventy-two billion, nine hundred ninety-seven million, eight hundred ninety thousand, sixty-four".