64002928803840 has 1728 divisors, whose sum is σ = 250420384468800. Its totient is φ = 15013125292032.

The previous prime is 64002928803823. The next prime is 64002928803841. The reversal of 64002928803840 is 4830882920046.

64002928803840 is a `hidden beast` number, since 6 + 400 + 2 + 92 + 8 + 80 + 38 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64002928803841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 237929103226 + ... + 237929103494.

It is an arithmetic number, because the mean of its divisors is an integer number (144919203975).

Almost surely, 2^{64002928803840} is an apocalyptic number.

64002928803840 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 64002928803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125210192234400).

64002928803840 is an abundant number, since it is smaller than the sum of its proper divisors (186417455664960).

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

64002928803840 is a wasteful number, since it uses less digits than its factorization.

64002928803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 64002928803840 in words is "sixty-four trillion, two billion, nine hundred twenty-eight million, eight hundred three thousand, eight hundred forty".