4961616000 has 256 divisors, whose sum is σ = 17944917120. Its totient is φ = 1202688000.

The previous prime is 4961615969. The next prime is 4961616007. The reversal of 4961616000 is 6161694.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4961616007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523302 + ... + 532698.

Almost surely, 2^4961616000 is an apocalyptic number.

4961616000 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 4961616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972458560).

4961616000 is an abundant number, since it is smaller than the sum of its proper divisors (12983301120).

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

4961616000 is a wasteful number, since it uses less digits than its factorization.

4961616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 4961616000 is about 70438.7393413596. The cubic root of 4961616000 is about 1705.5889870656.

Adding to 4961616000 its reverse (6161694), we get a palindrome (4967777694).

The spelling of 4961616000 in words is "four billion, nine hundred sixty-one million, six hundred sixteen thousand".