4991616000 has 528 divisors, whose sum is σ = 20590527360. Its totient is φ = 1139097600.

The previous prime is 4991615983. The next prime is 4991616011. The reversal of 4991616000 is 6161994.

4991616000 is a `hidden beast` number, since 49 + 9 + 1 + 6 + 1 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063691 + ... + 8064309.

Almost surely, 2^4991616000 is an apocalyptic number.

4991616000 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 4991616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295263680).

4991616000 is an abundant number, since it is smaller than the sum of its proper divisors (15598911360).

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

4991616000 is a wasteful number, since it uses less digits than its factorization.

4991616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4991616000 is about 70651.3694134799. The cubic root of 4991616000 is about 1709.0196494151.

Adding to 4991616000 its reverse (6161994), we get a palindrome (4997777994).

The spelling of 4991616000 in words is "four billion, nine hundred ninety-one million, six hundred sixteen thousand".