640524384 has 72 divisors (see below), whose sum is σ = 1825551000. Its totient is φ = 213032448.

The previous prime is 640524383. The next prime is 640524407. The reversal of 640524384 is 483425046.

640524384 is a `hidden beast` number, since 6 + 405 + 243 + 8 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640524383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141484 + ... + 145940.

It is an arithmetic number, because the mean of its divisors is an integer number (25354875).

Almost surely, 2^640524384 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 640524384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912775500).

640524384 is an abundant number, since it is smaller than the sum of its proper divisors (1185026616).

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

640524384 is a wasteful number, since it uses less digits than its factorization.

640524384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 640524384 is about 25308.5832080739. The cubic root of 640524384 is about 862.0091765684.

The spelling of 640524384 in words is "six hundred forty million, five hundred twenty-four thousand, three hundred eighty-four".