4602200064 has 336 divisors, whose sum is σ = 16106119680. Its totient is φ = 1132462080.

The previous prime is 4602200047. The next prime is 4602200093. The reversal of 4602200064 is 4600022064.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242221047 + ... + 242221065.

It is an arithmetic number, because the mean of its divisors is an integer number (47934880).

Almost surely, 2^4602200064 is an apocalyptic number.

4602200064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4602200064 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4602200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053059840).

4602200064 is an abundant number, since it is smaller than the sum of its proper divisors (11503919616).

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

4602200064 is an frugal number, since it uses more digits than its factorization.

4602200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4602200064 is about 67839.5169794125. The cubic root of 4602200064 is about 1663.3685967368.

It can be divided in two parts, 46022000 and 64, that added together give a palindrome (46022064).

The spelling of 4602200064 in words is "four billion, six hundred two million, two hundred thousand, sixty-four".