2723638363272 has 128 divisors (see below), whose sum is σ = 7771984473600. Its totient is φ = 883132429824.

The previous prime is 2723638363267. The next prime is 2723638363283.

2723638363272 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 6 + 3 + 8 + 363 + 272 = 666.

2723638363272 is nontrivially palindromic in base 10.

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35582113 + ... + 35658575.

It is an arithmetic number, because the mean of its divisors is an integer number (60718628700).

Almost surely, 2^{2723638363272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2723638363272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885992236800).

2723638363272 is an abundant number, since it is smaller than the sum of its proper divisors (5048346110328).

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

2723638363272 is a wasteful number, since it uses less digits than its factorization.

2723638363272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80972 (or 80962 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 54.

The spelling of 2723638363272 in words is "two trillion, seven hundred twenty-three billion, six hundred thirty-eight million, three hundred sixty-three thousand, two hundred seventy-two".