64082041920 has 420 divisors, whose sum is σ = 246851492580. Its totient is φ = 15772962816.

The previous prime is 64082041867. The next prime is 64082041921. The reversal of 64082041920 is 2914028046.

64082041920 is a `hidden beast` number, since 640 + 8 + 2 + 0 + 4 + 1 + 9 + 2 + 0 = 666.

64082041920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 22622566464 + 41459475456 = 150408^2 + 203616^2 .

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 not an unprimeable number, because it can be changed into a prime (64082041921) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4373166 + ... + 4387794.

It is an arithmetic number, because the mean of its divisors is an integer number (587741649).

Almost surely, 2^64082041920 is an apocalyptic number.

64082041920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64082041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123425746290).

64082041920 is an abundant number, since it is smaller than the sum of its proper divisors (182769450660).

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

64082041920 is a wasteful number, since it uses less digits than its factorization.

64082041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14684 (or 14652 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 64082041920 its reverse (2914028046), we get a palindrome (66996069966).

The spelling of 64082041920 in words is "sixty-four billion, eighty-two million, forty-one thousand, nine hundred twenty".