4657468678968 has 1536 divisors, whose sum is σ = 16139601838080. Its totient is φ = 1092123648000.

The previous prime is 4657468678871. The next prime is 4657468678969. The reversal of 4657468678968 is 8698768647564.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657468678969) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 65598150373 + ... + 65598150443.

It is an arithmetic number, because the mean of its divisors is an integer number (10507553280).

Almost surely, 2^{4657468678968} 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 4657468678968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069800919040).

4657468678968 is an abundant number, since it is smaller than the sum of its proper divisors (11482133159112).

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

4657468678968 is a wasteful number, since it uses less digits than its factorization.

4657468678968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its digits is 23410114560, while the sum is 84.

The spelling of 4657468678968 in words is "four trillion, six hundred fifty-seven billion, four hundred sixty-eight million, six hundred seventy-eight thousand, nine hundred sixty-eight".