4973517964800 has 2880 divisors, whose sum is σ = 23081786956800. Its totient is φ = 992968704000.

The previous prime is 4973517964741. The next prime is 4973517964819. The reversal of 4973517964800 is 84697153794.

4973517964800 is a `hidden beast` number, since 4 + 9 + 73 + 517 + 9 + 6 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33379315126 + ... + 33379315274.

It is an arithmetic number, because the mean of its divisors is an integer number (8014509360).

Almost surely, 2^{4973517964800} is an apocalyptic number.

4973517964800 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 4973517964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11540893478400).

4973517964800 is an abundant number, since it is smaller than the sum of its proper divisors (18108268992000).

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

4973517964800 is a wasteful number, since it uses less digits than its factorization.

4973517964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4973517964800 in words is "four trillion, nine hundred seventy-three billion, five hundred seventeen million, nine hundred sixty-four thousand, eight hundred".