2723667090816 has 256 divisors, whose sum is σ = 8557612646400. Its totient is φ = 751091927040.

The previous prime is 2723667090811. The next prime is 2723667090839. The reversal of 2723667090816 is 6180907663272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723667090811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31538191 + ... + 31624433.

It is an arithmetic number, because the mean of its divisors is an integer number (33428174400).

Almost surely, 2^{2723667090816} 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 2723667090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278806323200).

2723667090816 is an abundant number, since it is smaller than the sum of its proper divisors (5833945555584).

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

2723667090816 is a wasteful number, since it uses less digits than its factorization.

2723667090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86677 (or 86665 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 2723667090816 in words is "two trillion, seven hundred twenty-three billion, six hundred sixty-seven million, ninety thousand, eight hundred sixteen".