2623959367680 has 1024 divisors, whose sum is σ = 10276257093120. Its totient is φ = 558077313024.

The previous prime is 2623959367669. The next prime is 2623959367709. The reversal of 2623959367680 is 867639593262.

It is a tau number, because it is divible by the number of its divisors (1024).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6609469242 + ... + 6609469638.

Almost surely, 2^{2623959367680} is an apocalyptic number.

2623959367680 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 2623959367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138128546560).

2623959367680 is an abundant number, since it is smaller than the sum of its proper divisors (7652297725440).

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

2623959367680 is a wasteful number, since it uses less digits than its factorization.

2623959367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 66.

The spelling of 2623959367680 in words is "two trillion, six hundred twenty-three billion, nine hundred fifty-nine million, three hundred sixty-seven thousand, six hundred eighty".