4567793593968 has 240 divisors, whose sum is σ = 14252666628096. Its totient is φ = 1353745820160.

The previous prime is 4567793593943. The next prime is 4567793593969. The reversal of 4567793593968 is 8693953977654.

4567793593968 is a `hidden beast` number, since 456 + 7 + 79 + 3 + 5 + 9 + 3 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4567793593969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105917946 + ... + 105961062.

Almost surely, 2^{4567793593968} is an apocalyptic number.

4567793593968 is a gapful number since it is divisible by the number (48) 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 4567793593968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126333314048).

4567793593968 is an abundant number, since it is smaller than the sum of its proper divisors (9684873034128).

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

4567793593968 is a wasteful number, since it uses less digits than its factorization.

4567793593968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44612 (or 44603 counting only the distinct ones).

The product of its digits is 9258883200, while the sum is 81.

The spelling of 4567793593968 in words is "four trillion, five hundred sixty-seven billion, seven hundred ninety-three million, five hundred ninety-three thousand, nine hundred sixty-eight".