4657683534336 has 960 divisors, whose sum is σ = 16428385349376. Its totient is φ = 1289945088000.

The previous prime is 4657683534313. The next prime is 4657683534353. The reversal of 4657683534336 is 6334353867564.

4657683534336 is a `hidden beast` number, since 4 + 6 + 5 + 7 + 68 + 3 + 534 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3878170536 + ... + 3878171736.

Almost surely, 2^{4657683534336} 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 4657683534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214192674688).

4657683534336 is an abundant number, since it is smaller than the sum of its proper divisors (11770701815040).

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

4657683534336 is an equidigital number, since it uses as much as digits as its factorization.

4657683534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1347 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 63.

The spelling of 4657683534336 in words is "four trillion, six hundred fifty-seven billion, six hundred eighty-three million, five hundred thirty-four thousand, three hundred thirty-six".