4661864352 has 72 divisors (see below), whose sum is σ = 13289012100. Its totient is φ = 1550223360.

The previous prime is 4661864293. The next prime is 4661864371. The reversal of 4661864352 is 2534681664.

4661864352 is a `hidden beast` number, since 466 + 186 + 4 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2708577936 + 1953286416 = 52044^2 + 44196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4661864298 and 4661864307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102024 + ... + 140472.

Almost surely, 2^4661864352 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 4661864352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644506050).

4661864352 is an abundant number, since it is smaller than the sum of its proper divisors (8627147748).

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

4661864352 is a wasteful number, since it uses less digits than its factorization.

4661864352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38886 (or 38875 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4661864352 is about 68277.8467147288. The cubic root of 4661864352 is about 1670.5258902896.

The spelling of 4661864352 in words is "four billion, six hundred sixty-one million, eight hundred sixty-four thousand, three hundred fifty-two".