2623923600768 has 320 divisors, whose sum is σ = 8627588212320. Its totient is φ = 787399557120.

The previous prime is 2623923600737. The next prime is 2623923600833. The reversal of 2623923600768 is 8670063293262.

2623923600768 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 9 + 23 + 600 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3730258 + ... + 4377518.

Almost surely, 2^{2623923600768} 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 2623923600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313794106160).

2623923600768 is an abundant number, since it is smaller than the sum of its proper divisors (6003664611552).

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

2623923600768 is a wasteful number, since it uses less digits than its factorization.

2623923600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647327 (or 647306 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2623923600768 in words is "two trillion, six hundred twenty-three billion, nine hundred twenty-three million, six hundred thousand, seven hundred sixty-eight".