4716925012800 has 2688 divisors, whose sum is σ = 24306244300800. Its totient is φ = 856977408000.

The previous prime is 4716925012777. The next prime is 4716925012801. The reversal of 4716925012800 is 82105296174.

4716925012800 is a `hidden beast` number, since 4 + 7 + 1 + 69 + 2 + 501 + 2 + 80 + 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 not an unprimeable number, because it can be changed into a prime (4716925012801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 821617930 + ... + 821623670.

It is an arithmetic number, because the mean of its divisors is an integer number (9042501600).

Almost surely, 2^{4716925012800} is an apocalyptic number.

4716925012800 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 4716925012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153122150400).

4716925012800 is an abundant number, since it is smaller than the sum of its proper divisors (19589319288000).

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

4716925012800 is a wasteful number, since it uses less digits than its factorization.

4716925012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 4716925012800 in words is "four trillion, seven hundred sixteen billion, nine hundred twenty-five million, twelve thousand, eight hundred".