64820342845440 has 2496 divisors, whose sum is σ = 293853662548992. Its totient is φ = 13338987724800.

The previous prime is 64820342845429. The next prime is 64820342845499. The reversal of 64820342845440 is 4454824302846.

64820342845440 is a `hidden beast` number, since 6 + 4 + 8 + 203 + 428 + 4 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18567842095 + ... + 18567845585.

It is an arithmetic number, because the mean of its divisors is an integer number (117729832752).

Almost surely, 2^{64820342845440} is an apocalyptic number.

64820342845440 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 64820342845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146926831274496).

64820342845440 is an abundant number, since it is smaller than the sum of its proper divisors (229033319703552).

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

64820342845440 is a wasteful number, since it uses less digits than its factorization.

64820342845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 54.

The spelling of 64820342845440 in words is "sixty-four trillion, eight hundred twenty billion, three hundred forty-two million, eight hundred forty-five thousand, four hundred forty".