4218362064 has 200 divisors, whose sum is σ = 14688315840. Its totient is φ = 1141765632.

The previous prime is 4218362063. The next prime is 4218362101. The reversal of 4218362064 is 4602638124.

4218362064 is a `hidden beast` number, since 4 + 21 + 8 + 3 + 620 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218362063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160132 + ... + 184604.

Almost surely, 2^4218362064 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 4218362064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344157920).

4218362064 is an abundant number, since it is smaller than the sum of its proper divisors (10469953776).

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

4218362064 is a wasteful number, since it uses less digits than its factorization.

4218362064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24519 (or 24504 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4218362064 is about 64948.9188824572. The cubic root of 4218362064 is about 1615.7764881375.

The spelling of 4218362064 in words is "four billion, two hundred eighteen million, three hundred sixty-two thousand, sixty-four".