4602107664 has 400 divisors, whose sum is σ = 16800638976. Its totient is φ = 1181433600.

The previous prime is 4602107647. The next prime is 4602107669. The reversal of 4602107664 is 4667012064.

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

It is not an unprimeable number, because it can be changed into a prime (4602107669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10677529 + ... + 10677959.

Almost surely, 2^4602107664 is an apocalyptic number.

4602107664 is a gapful number since it is divisible by the number (44) 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 4602107664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400319488).

4602107664 is an abundant number, since it is smaller than the sum of its proper divisors (12198531312).

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

4602107664 is a wasteful number, since it uses less digits than its factorization.

4602107664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4602107664 is about 67838.8359569944. The cubic root of 4602107664 is about 1663.3574646489.

The spelling of 4602107664 in words is "four billion, six hundred two million, one hundred seven thousand, six hundred sixty-four".