64516350868200 has 4608 divisors, whose sum is σ = 308024570880000. Its totient is φ = 12272020992000.

The previous prime is 64516350868199. The next prime is 64516350868231. The reversal of 64516350868200 is 286805361546.

64516350868200 is a `hidden beast` number, since 6 + 4 + 5 + 1 + 6 + 350 + 86 + 8 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1057645096170 + ... + 1057645096230.

It is an arithmetic number, because the mean of its divisors is an integer number (66845610000).

Almost surely, 2^{64516350868200} is an apocalyptic number.

64516350868200 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 64516350868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154012285440000).

64516350868200 is an abundant number, since it is smaller than the sum of its proper divisors (243508220011800).

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

64516350868200 is a wasteful number, since it uses less digits than its factorization.

64516350868200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 64516350868200 in words is "sixty-four trillion, five hundred sixteen billion, three hundred fifty million, eight hundred sixty-eight thousand, two hundred".