272626275840 has 480 divisors, whose sum is σ = 929444440320. Its totient is φ = 68156080128.

The previous prime is 272626275809. The next prime is 272626275851. The reversal of 272626275840 is 48572626272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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, 296654901 + ... + 296655819.

It is an arithmetic number, because the mean of its divisors is an integer number (1936342584).

Almost surely, 2^272626275840 is an apocalyptic number.

272626275840 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 272626275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464722220160).

272626275840 is an abundant number, since it is smaller than the sum of its proper divisors (656818164480).

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

272626275840 is a wasteful number, since it uses less digits than its factorization.

272626275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 272626275840 in words is "two hundred seventy-two billion, six hundred twenty-six million, two hundred seventy-five thousand, eight hundred forty".