64811584825008 has 240 divisors, whose sum is σ = 199281736402560. Its totient is φ = 18092052421632.

The previous prime is 64811584824997. The next prime is 64811584825019. The reversal of 64811584825008 is 80052848511846.

It is an interprime number because it is at equal distance from previous prime (64811584824997) and next prime (64811584825019).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21186516 + ... + 24051852.

It is an arithmetic number, because the mean of its divisors is an integer number (830340568344).

Almost surely, 2^{64811584825008} 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 64811584825008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99640868201280).

64811584825008 is an abundant number, since it is smaller than the sum of its proper divisors (134470151577552).

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

64811584825008 is a wasteful number, since it uses less digits than its factorization.

64811584825008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865584 (or 2865571 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 60.

The spelling of 64811584825008 in words is "sixty-four trillion, eight hundred eleven billion, five hundred eighty-four million, eight hundred twenty-five thousand, eight".