4646005504 has 72 divisors (see below), whose sum is σ = 10778584320. Its totient is φ = 1957352448.

The previous prime is 4646005489. The next prime is 4646005519. The reversal of 4646005504 is 4055006464.

It is an interprime number because it is at equal distance from previous prime (4646005489) and next prime (4646005519).

It is a self number, because there is not a number n which added to its sum of digits gives 4646005504.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 83757 + ... + 127699.

It is an arithmetic number, because the mean of its divisors is an integer number (149702560).

Almost surely, 2^4646005504 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 4646005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389292160).

4646005504 is an abundant number, since it is smaller than the sum of its proper divisors (6132578816).

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

4646005504 is an equidigital number, since it uses as much as digits as its factorization.

4646005504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44025 (or 44011 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 4646005504 is about 68161.6131264512. The cubic root of 4646005504 is about 1668.6294591511.

The spelling of 4646005504 in words is "four billion, six hundred forty-six million, five thousand, five hundred four".