64820208240 has 240 divisors, whose sum is σ = 225794271456. Its totient is φ = 16651008000.

The previous prime is 64820208199. The next prime is 64820208251. The reversal of 64820208240 is 4280202846.

It is a happy number.

64820208240 is a `hidden beast` number, since 648 + 2 + 0 + 2 + 0 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 64820208195 and 64820208204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678595 + ... + 2702685.

Almost surely, 2^64820208240 is an apocalyptic number.

64820208240 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 64820208240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112897135728).

64820208240 is an abundant number, since it is smaller than the sum of its proper divisors (160974063216).

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

64820208240 is a wasteful number, since it uses less digits than its factorization.

64820208240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24248 (or 24239 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 64820208240 in words is "sixty-four billion, eight hundred twenty million, two hundred eight thousand, two hundred forty".