4973864464800 has 1152 divisors, whose sum is σ = 23151318220800. Its totient is φ = 1000180224000.

The previous prime is 4973864464781. The next prime is 4973864464841. The reversal of 4973864464800 is 84644683794.

4973864464800 is a `hidden beast` number, since 4 + 9 + 7 + 38 + 64 + 464 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51510966 + ... + 51607434.

It is an arithmetic number, because the mean of its divisors is an integer number (20096630400).

Almost surely, 2^{4973864464800} is an apocalyptic number.

4973864464800 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 4973864464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575659110400).

4973864464800 is an abundant number, since it is smaller than the sum of its proper divisors (18177453756000).

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

4973864464800 is a wasteful number, since it uses less digits than its factorization.

4973864464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96547 (or 96528 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 4973864464800 in words is "four trillion, nine hundred seventy-three billion, eight hundred sixty-four million, four hundred sixty-four thousand, eight hundred".