64864169064000 has 1792 divisors, whose sum is σ = 253769086771200. Its totient is φ = 16197801984000.

The previous prime is 64864169063887. The next prime is 64864169064007. The reversal of 64864169064000 is 46096146846.

It is a happy number.

64864169064000 is a `hidden beast` number, since 6 + 4 + 86 + 416 + 90 + 64 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (64864169064007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22467670557 + ... + 22467673443.

It is an arithmetic number, because the mean of its divisors is an integer number (141612213600).

Almost surely, 2^{64864169064000} is an apocalyptic number.

64864169064000 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 64864169064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126884543385600).

64864169064000 is an abundant number, since it is smaller than the sum of its proper divisors (188904917707200).

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

64864169064000 is a wasteful number, since it uses less digits than its factorization.

64864169064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 64864169064000 in words is "sixty-four trillion, eight hundred sixty-four billion, one hundred sixty-nine million, sixty-four thousand".