4766057182656 has 504 divisors, whose sum is σ = 17624855844960. Its totient is φ = 1204474613760.

The previous prime is 4766057182639. The next prime is 4766057182669. The reversal of 4766057182656 is 6562817506674.

4766057182656 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 0 + 571 + 8 + 2 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 4766057182593 and 4766057182602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17919250 + ... + 18183278.

Almost surely, 2^{4766057182656} 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 4766057182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812427922480).

4766057182656 is an abundant number, since it is smaller than the sum of its proper divisors (12858798662304).

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

4766057182656 is a wasteful number, since it uses less digits than its factorization.

4766057182656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264113 (or 264089 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 4766057182656 in words is "four trillion, seven hundred sixty-six billion, fifty-seven million, one hundred eighty-two thousand, six hundred fifty-six".