4966743600 has 360 divisors, whose sum is σ = 21214912992. Its totient is φ = 1047859200.

The previous prime is 4966743599. The next prime is 4966743623. The reversal of 4966743600 is 63476694.

4966743600 is a `hidden beast` number, since 496 + 67 + 43 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320020 + ... + 335180.

Almost surely, 2^4966743600 is an apocalyptic number.

4966743600 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 4966743600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607456496).

4966743600 is an abundant number, since it is smaller than the sum of its proper divisors (16248169392).

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

4966743600 is a wasteful number, since it uses less digits than its factorization.

4966743600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15205 (or 15191 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4966743600 is about 70475.1275273766. The cubic root of 4966743600 is about 1706.1763338159.

The spelling of 4966743600 in words is "four billion, nine hundred sixty-six million, seven hundred forty-three thousand, six hundred".