5864632416 has 384 divisors, whose sum is σ = 18966528000. Its totient is φ = 1755758592.

The previous prime is 5864632393. The next prime is 5864632441. The reversal of 5864632416 is 6142364685.

5864632416 is a `hidden beast` number, since 5 + 8 + 6 + 4 + 632 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46178145 + ... + 46178271.

It is an arithmetic number, because the mean of its divisors is an integer number (49392000).

Almost surely, 2^5864632416 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 5864632416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483264000).

5864632416 is an abundant number, since it is smaller than the sum of its proper divisors (13101895584).

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

5864632416 is a wasteful number, since it uses less digits than its factorization.

5864632416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

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

The square root of 5864632416 is about 76580.8880596197. Note that the first 3 decimals coincide. The cubic root of 5864632416 is about 1803.3510021202.

The spelling of 5864632416 in words is "five billion, eight hundred sixty-four million, six hundred thirty-two thousand, four hundred sixteen".