4770163942200 has 864 divisors, whose sum is σ = 17599392205200. Its totient is φ = 1187473996800.

The previous prime is 4770163942163. The next prime is 4770163942273. The reversal of 4770163942200 is 22493610774.

4770163942200 is a `hidden beast` number, since 4 + 7 + 7 + 0 + 1 + 639 + 4 + 2 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4364284854 + ... + 4364285946.

Almost surely, 2^{4770163942200} is an apocalyptic number.

4770163942200 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 4770163942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799696102600).

4770163942200 is an abundant number, since it is smaller than the sum of its proper divisors (12829228263000).

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

4770163942200 is a wasteful number, since it uses less digits than its factorization.

4770163942200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 4770163942200 in words is "four trillion, seven hundred seventy billion, one hundred sixty-three million, nine hundred forty-two thousand, two hundred".