272660464960 has 112 divisors (see below), whose sum is σ = 740347379856. Its totient is φ = 94752571392.

The previous prime is 272660464957. The next prime is 272660464961. The reversal of 272660464960 is 69464066272.

It can be written as a sum of positive squares in 8 ways, for example, as 877581376 + 271782883584 = 29624^2 + 521328^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 272660464898 and 272660464907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272660464961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857027 + ... + 1998466.

It is an arithmetic number, because the mean of its divisors is an integer number (6610244463).

Almost surely, 2^272660464960 is an apocalyptic number.

272660464960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272660464960 is an abundant number, since it is smaller than the sum of its proper divisors (467686914896).

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

272660464960 is a wasteful number, since it uses less digits than its factorization.

272660464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855540 (or 3855530 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 272660464960 in words is "two hundred seventy-two billion, six hundred sixty million, four hundred sixty-four thousand, nine hundred sixty".