4668402716208 has 320 divisors, whose sum is σ = 17158082288640. Its totient is φ = 1179799603200.

The previous prime is 4668402716191. The next prime is 4668402716221. The reversal of 4668402716208 is 8026172048664.

It is a happy number.

4668402716208 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 4 + 0 + 2 + 7 + 1 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665773 + ... + 3127308.

It is an arithmetic number, because the mean of its divisors is an integer number (53619007152).

Almost surely, 2^{4668402716208} is an apocalyptic number.

4668402716208 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 4668402716208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579041144320).

4668402716208 is an abundant number, since it is smaller than the sum of its proper divisors (12489679572432).

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

4668402716208 is a wasteful number, since it uses less digits than its factorization.

4668402716208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793153 (or 3793141 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4668402716208 in words is "four trillion, six hundred sixty-eight billion, four hundred two million, seven hundred sixteen thousand, two hundred eight".