4285738646784 has 540 divisors, whose sum is σ = 15648189480000. Its totient is φ = 1160044333056.

The previous prime is 4285738646773. The next prime is 4285738646821. The reversal of 4285738646784 is 4876468375824.

4285738646784 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 7 + 3 + 86 + 467 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19194217 + ... + 19416215.

Almost surely, 2^{4285738646784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285738646784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824094740000).

4285738646784 is an abundant number, since it is smaller than the sum of its proper divisors (11362450833216).

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

4285738646784 is a wasteful number, since it uses less digits than its factorization.

4285738646784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222060 (or 222030 counting only the distinct ones).

The product of its digits is 1734082560, while the sum is 72.

The spelling of 4285738646784 in words is "four trillion, two hundred eighty-five billion, seven hundred thirty-eight million, six hundred forty-six thousand, seven hundred eighty-four".