4946002560 has 224 divisors, whose sum is σ = 17729618580. Its totient is φ = 1318809600.

The previous prime is 4946002553. The next prime is 4946002583. The reversal of 4946002560 is 652006494.

4946002560 is a `hidden beast` number, since 4 + 94 + 6 + 0 + 0 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4867573824 + 78428736 = 69768^2 + 8856^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 461260 + ... + 471860.

Almost surely, 2^4946002560 is an apocalyptic number.

4946002560 is a gapful number since it is divisible by the number (40) 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 4946002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864809290).

4946002560 is an abundant number, since it is smaller than the sum of its proper divisors (12783616020).

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

4946002560 is an equidigital number, since it uses as much as digits as its factorization.

4946002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10638 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4946002560 is about 70327.8220905496. The cubic root of 4946002560 is about 1703.7980320038.

The spelling of 4946002560 in words is "four billion, nine hundred forty-six million, two thousand, five hundred sixty".