4676478686208 has 704 divisors, whose sum is σ = 16541971415040. Its totient is φ = 1292901212160.

The previous prime is 4676478686203. The next prime is 4676478686213. The reversal of 4676478686208 is 8026868746764.

4676478686208 is a `hidden beast` number, since 4 + 6 + 76 + 478 + 6 + 86 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4676478686203) and next prime (4676478686213).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4676478686203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485964085 + ... + 485973707.

Almost surely, 2^{4676478686208} is an apocalyptic number.

4676478686208 is a gapful number since it is divisible by the number (48) 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 4676478686208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270985707520).

4676478686208 is an abundant number, since it is smaller than the sum of its proper divisors (11865492728832).

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

4676478686208 is an frugal number, since it uses more digits than its factorization.

4676478686208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 4676478686208 in words is "four trillion, six hundred seventy-six billion, four hundred seventy-eight million, six hundred eighty-six thousand, two hundred eight".