4630967686656 has 240 divisors, whose sum is σ = 13866680475648. Its totient is φ = 1542945024000.

The previous prime is 4630967686613. The next prime is 4630967686693. The reversal of 4630967686656 is 6566867690364.

4630967686656 is a `hidden beast` number, since 463 + 0 + 96 + 76 + 8 + 6 + 6 + 5 + 6 = 666.

It is a super-3 number, since 3×4630967686656³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317377921 + ... + 317392511.

Almost surely, 2^{4630967686656} 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 4630967686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933340237824).

4630967686656 is an abundant number, since it is smaller than the sum of its proper divisors (9235712788992).

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

4630967686656 is an equidigital number, since it uses as much as digits as its factorization.

4630967686656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17175 (or 17147 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 4630967686656 in words is "four trillion, six hundred thirty billion, nine hundred sixty-seven million, six hundred eighty-six thousand, six hundred fifty-six".