272654648640 has 448 divisors, whose sum is σ = 1050796293120. Its totient is φ = 66004346880.

The previous prime is 272654648627. The next prime is 272654648681. The reversal of 272654648640 is 46846456272.

It is a happy number.

272654648640 is a `hidden beast` number, since 2 + 7 + 2 + 65 + 464 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86199699 + ... + 86202861.

It is an arithmetic number, because the mean of its divisors is an integer number (2345527440).

Almost surely, 2^272654648640 is an apocalyptic number.

272654648640 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 272654648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525398146560).

272654648640 is an abundant number, since it is smaller than the sum of its proper divisors (778141644480).

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

272654648640 is a wasteful number, since it uses less digits than its factorization.

272654648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 272654648640 in words is "two hundred seventy-two billion, six hundred fifty-four million, six hundred forty-eight thousand, six hundred forty".