64216281786120 has 288 divisors, whose sum is σ = 225336189915720. Its totient is φ = 15852812451840.

The previous prime is 64216281786113. The next prime is 64216281786161. The reversal of 64216281786120 is 2168718261246.

64216281786120 is a `hidden beast` number, since 6 + 4 + 2 + 1 + 6 + 2 + 8 + 17 + 8 + 612 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13212774263844 + 51003507522276 = 3634938^2 + 7141674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1287204 + ... + 11405676.

Almost surely, 2^{64216281786120} is an apocalyptic number.

64216281786120 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 64216281786120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112668094957860).

64216281786120 is an abundant number, since it is smaller than the sum of its proper divisors (161119908129600).

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

64216281786120 is a wasteful number, since it uses less digits than its factorization.

64216281786120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118585 (or 10118561 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 64216281786120 in words is "sixty-four trillion, two hundred sixteen billion, two hundred eighty-one million, seven hundred eighty-six thousand, one hundred twenty".