4807536646032 has 720 divisors, whose sum is σ = 15833205984960. Its totient is φ = 1403137769472.

The previous prime is 4807536646009. The next prime is 4807536646229. The reversal of 4807536646032 is 2306466357084.

4807536646032 is a `hidden beast` number, since 4 + 80 + 75 + 3 + 6 + 6 + 460 + 32 = 666.

It is a super-3 number, since 3×4807536646032³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4807536646032.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20993609694 + ... + 20993609922.

It is an arithmetic number, because the mean of its divisors is an integer number (21990563868).

Almost surely, 2^{4807536646032} 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 4807536646032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916602992480).

4807536646032 is an abundant number, since it is smaller than the sum of its proper divisors (11025669338928).

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

4807536646032 is a wasteful number, since it uses less digits than its factorization.

4807536646032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 4807536646032 in words is "four trillion, eight hundred seven billion, five hundred thirty-six million, six hundred forty-six thousand, thirty-two".