4706738668800 has 1620 divisors, whose sum is σ = 20417644853760. Its totient is φ = 1066623344640.

The previous prime is 4706738668799. The next prime is 4706738668843. The reversal of 4706738668800 is 88668376074.

4706738668800 is a `hidden beast` number, since 470 + 6 + 7 + 3 + 86 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3226002471 + ... + 3226003929.

Almost surely, 2^{4706738668800} is an apocalyptic number.

4706738668800 is a gapful number since it is divisible by the number (40) 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 4706738668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208822426880).

4706738668800 is an abundant number, since it is smaller than the sum of its proper divisors (15710906184960).

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

4706738668800 is a wasteful number, since it uses less digits than its factorization.

4706738668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 4706738668800 in words is "four trillion, seven hundred six billion, seven hundred thirty-eight million, six hundred sixty-eight thousand, eight hundred".