4964290560 has 312 divisors, whose sum is σ = 17970922944. Its totient is φ = 1265172480.

The previous prime is 4964290549. The next prime is 4964290561. The reversal of 4964290560 is 650924694.

4964290560 is a `hidden beast` number, since 4 + 9 + 64 + 29 + 0 + 560 = 666.

It is a super-2 number, since 2×4964290560² = 49288361528210227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4964290561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4238775 + ... + 4239945.

It is an arithmetic number, because the mean of its divisors is an integer number (57599112).

Almost surely, 2^4964290560 is an apocalyptic number.

4964290560 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 4964290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985461472).

4964290560 is an abundant number, since it is smaller than the sum of its proper divisors (13006632384).

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

4964290560 is a wasteful number, since it uses less digits than its factorization.

4964290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4964290560 is about 70457.7217911564. The cubic root of 4964290560 is about 1705.8953980323.

The spelling of 4964290560 in words is "four billion, nine hundred sixty-four million, two hundred ninety thousand, five hundred sixty".