4895316000 has 480 divisors, whose sum is σ = 18622684080. Its totient is φ = 1257984000.

The previous prime is 4895315983. The next prime is 4895316007. The reversal of 4895316000 is 6135984.

4895316000 is a `hidden beast` number, since 48 + 9 + 5 + 3 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32764176 + 4862551824 = 5724^2 + 69732^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (4895316007) 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 79 ways as a sum of consecutive naturals, for example, 9395740 + ... + 9396260.

Almost surely, 2^4895316000 is an apocalyptic number.

4895316000 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 4895316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311342040).

4895316000 is an abundant number, since it is smaller than the sum of its proper divisors (13727368080).

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

4895316000 is a wasteful number, since it uses less digits than its factorization.

4895316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4895316000 is about 69966.5348577447. The cubic root of 4895316000 is about 1697.9578708223.

The spelling of 4895316000 in words is "four billion, eight hundred ninety-five million, three hundred sixteen thousand".