4827936672000 has 432 divisors, whose sum is σ = 18708671440368. Its totient is φ = 1188414259200.

The previous prime is 4827936671983. The next prime is 4827936672011. The reversal of 4827936672000 is 2766397284.

4827936672000 is a `hidden beast` number, since 4 + 8 + 2 + 79 + 366 + 7 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1922193690624 + 2905742981376 = 1386432^2 + 1704624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3099244 + ... + 4388756.

Almost surely, 2^{4827936672000} is an apocalyptic number.

4827936672000 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 4827936672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354335720184).

4827936672000 is an abundant number, since it is smaller than the sum of its proper divisors (13880734768368).

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

4827936672000 is a wasteful number, since it uses less digits than its factorization.

4827936672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289563 (or 1289536 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4827936672000 in words is "four trillion, eight hundred twenty-seven billion, nine hundred thirty-six million, six hundred seventy-two thousand".