2623616720640 has 648 divisors, whose sum is σ = 9874167423120. Its totient is φ = 641376092160.

The previous prime is 2623616720611. The next prime is 2623616720651. The reversal of 2623616720640 is 460276163262.

2623616720640 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 616 + 7 + 20 + 6 + 4 + 0 = 666.

2623616720640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210337444 + ... + 210349916.

It is an arithmetic number, because the mean of its divisors is an integer number (15237912690).

Almost surely, 2^{2623616720640} is an apocalyptic number.

2623616720640 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 2623616720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937083711560).

2623616720640 is an abundant number, since it is smaller than the sum of its proper divisors (7250550702480).

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

2623616720640 is a wasteful number, since it uses less digits than its factorization.

2623616720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12581 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2623616720640 in words is "two trillion, six hundred twenty-three billion, six hundred sixteen million, seven hundred twenty thousand, six hundred forty".