4887936370800 has 960 divisors, whose sum is σ = 21079241318400. Its totient is φ = 1051962163200.

The previous prime is 4887936370799. The next prime is 4887936370819. The reversal of 4887936370800 is 80736397884.

4887936370800 is a `hidden beast` number, since 488 + 7 + 9 + 3 + 6 + 3 + 70 + 80 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 86685016 + ... + 86741384.

It is an arithmetic number, because the mean of its divisors is an integer number (21957543040).

Almost surely, 2^{4887936370800} is an apocalyptic number.

4887936370800 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 4887936370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539620659200).

4887936370800 is an abundant number, since it is smaller than the sum of its proper divisors (16191304947600).

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

4887936370800 is a wasteful number, since it uses less digits than its factorization.

4887936370800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56471 (or 56454 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4887936370800 in words is "four trillion, eight hundred eighty-seven billion, nine hundred thirty-six million, three hundred seventy thousand, eight hundred".