2736628734320 has 240 divisors, whose sum is σ = 7470070739040. Its totient is φ = 924251295744.

The previous prime is 2736628734241. The next prime is 2736628734353. The reversal of 2736628734320 is 234378266372.

2736628734320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 16535822 + ... + 16700498.

It is an arithmetic number, because the mean of its divisors is an integer number (31125294746).

Almost surely, 2^{2736628734320} is an apocalyptic number.

2736628734320 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 2736628734320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735035369520).

2736628734320 is an abundant number, since it is smaller than the sum of its proper divisors (4733442004720).

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

2736628734320 is a wasteful number, since it uses less digits than its factorization.

2736628734320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164780 (or 164745 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 53.

The spelling of 2736628734320 in words is "two trillion, seven hundred thirty-six billion, six hundred twenty-eight million, seven hundred thirty-four thousand, three hundred twenty".