63284723712 has 480 divisors, whose sum is σ = 217426083840. Its totient is φ = 17818583040.

The previous prime is 63284723693. The next prime is 63284723717. The reversal of 63284723712 is 21732748236.

63284723712 is a `hidden beast` number, since 632 + 8 + 4 + 7 + 2 + 3 + 7 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63284723717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331333537 + ... + 331333727.

It is an arithmetic number, because the mean of its divisors is an integer number (452971008).

Almost surely, 2^63284723712 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 63284723712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108713041920).

63284723712 is an abundant number, since it is smaller than the sum of its proper divisors (154141360128).

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

63284723712 is a wasteful number, since it uses less digits than its factorization.

63284723712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 63284723712 in words is "sixty-three billion, two hundred eighty-four million, seven hundred twenty-three thousand, seven hundred twelve".