4864556362752 has 528 divisors, whose sum is σ = 15116751104000. Its totient is φ = 1560833556480.

The previous prime is 4864556362751. The next prime is 4864556362781. The reversal of 4864556362752 is 2572636554684.

4864556362752 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 5 + 563 + 62 + 7 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4864556362752.

It is not an unprimeable number, because it can be changed into a prime (4864556362751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535043024 + ... + 1535046192.

Almost surely, 2^{4864556362752} 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 4864556362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558375552000).

4864556362752 is an abundant number, since it is smaller than the sum of its proper divisors (10252194741248).

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

4864556362752 is a wasteful number, since it uses less digits than its factorization.

4864556362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3404 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 63.

The spelling of 4864556362752 in words is "four trillion, eight hundred sixty-four billion, five hundred fifty-six million, three hundred sixty-two thousand, seven hundred fifty-two".