2723726798016 has 168 divisors, whose sum is σ = 8384768650800. Its totient is φ = 778053040128.

The previous prime is 2723726798011. The next prime is 2723726798053. The reversal of 2723726798016 is 6108976273272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2723726798011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52404810 + ... + 52456758.

Almost surely, 2^{2723726798016} 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 2723726798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192384325400).

2723726798016 is an abundant number, since it is smaller than the sum of its proper divisors (5661041852784).

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

2723726798016 is a wasteful number, since it uses less digits than its factorization.

2723726798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57551 (or 57534 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 2723726798016 in words is "two trillion, seven hundred twenty-three billion, seven hundred twenty-six million, seven hundred ninety-eight thousand, sixteen".