643614336 has 160 divisors (see below), whose sum is σ = 1999404000. Its totient is φ = 205134336.

The previous prime is 643614311. The next prime is 643614337. The reversal of 643614336 is 633416346.

643614336 is a `hidden beast` number, since 6 + 4 + 3 + 614 + 3 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 643614336.

It is not an unprimeable number, because it can be changed into a prime (643614337) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 237115 + ... + 239813.

It is an arithmetic number, because the mean of its divisors is an integer number (12496275).

Almost surely, 2^643614336 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 643614336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999702000).

643614336 is an abundant number, since it is smaller than the sum of its proper divisors (1355789664).

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

643614336 is a wasteful number, since it uses less digits than its factorization.

643614336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2727 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 643614336 is about 25369.5552976397. Note that the first 3 decimals coincide. The cubic root of 643614336 is about 863.3930923024.

The spelling of 643614336 in words is "six hundred forty-three million, six hundred fourteen thousand, three hundred thirty-six".