2672343738456 has 256 divisors, whose sum is σ = 7842240860160. Its totient is φ = 743151697920.

The previous prime is 2672343738437. The next prime is 2672343738457. The reversal of 2672343738456 is 6548373432762.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2672343738456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672343738457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436583076 + ... + 436589196.

It is an arithmetic number, because the mean of its divisors is an integer number (30633753360).

Almost surely, 2^{2672343738456} 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 2672343738456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921120430080).

2672343738456 is an abundant number, since it is smaller than the sum of its proper divisors (5169897121704).

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

2672343738456 is a wasteful number, since it uses less digits than its factorization.

2672343738456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6670 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 60.

The spelling of 2672343738456 in words is "two trillion, six hundred seventy-two billion, three hundred forty-three million, seven hundred thirty-eight thousand, four hundred fifty-six".