4728782494800 has 3600 divisors, whose sum is σ = 23160942604800. Its totient is φ = 912367411200.

The previous prime is 4728782494753. The next prime is 4728782494817. The reversal of 4728782494800 is 84942878274.

4728782494800 is a `hidden beast` number, since 4 + 72 + 8 + 7 + 82 + 4 + 9 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×4728782494800² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 12156253006 + ... + 12156253394.

It is an arithmetic number, because the mean of its divisors is an integer number (6433595168).

Almost surely, 2^{4728782494800} is an apocalyptic number.

4728782494800 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 4728782494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11580471302400).

4728782494800 is an abundant number, since it is smaller than the sum of its proper divisors (18432160110000).

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

4728782494800 is a wasteful number, since it uses less digits than its factorization.

4728782494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 4728782494800 in words is "four trillion, seven hundred twenty-eight billion, seven hundred eighty-two million, four hundred ninety-four thousand, eight hundred".