4657056768000 has 2240 divisors, whose sum is σ = 21404737081728. Its totient is φ = 980995276800.

The previous prime is 4657056767969. The next prime is 4657056768029. The reversal of 4657056768000 is 8676507564.

4657056768000 is a `hidden beast` number, since 4 + 6 + 5 + 70 + 567 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 159 ways as a sum of consecutive naturals, for example, 7547903692 + ... + 7547904308.

Almost surely, 2^{4657056768000} is an apocalyptic number.

4657056768000 is a gapful number since it is divisible by the number (40) 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 4657056768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702368540864).

4657056768000 is an abundant number, since it is smaller than the sum of its proper divisors (16747680313728).

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

4657056768000 is an equidigital number, since it uses as much as digits as its factorization.

4657056768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 4657056768000 in words is "four trillion, six hundred fifty-seven billion, fifty-six million, seven hundred sixty-eight thousand".