4781074636800 has 3360 divisors, whose sum is σ = 23361832961280. Its totient is φ = 936404582400.

The previous prime is 4781074636699. The next prime is 4781074636813. The reversal of 4781074636800 is 86364701874.

4781074636800 is a `hidden beast` number, since 4 + 78 + 107 + 463 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 24269414302 + ... + 24269414498.

Almost surely, 2^{4781074636800} is an apocalyptic number.

4781074636800 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 4781074636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11680916480640).

4781074636800 is an abundant number, since it is smaller than the sum of its proper divisors (18580758324480).

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

4781074636800 is a wasteful number, since it uses less digits than its factorization.

4781074636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 4781074636800 in words is "four trillion, seven hundred eighty-one billion, seventy-four million, six hundred thirty-six thousand, eight hundred".