4916980800 has 168 divisors, whose sum is σ = 17924373600. Its totient is φ = 1311183360.

The previous prime is 4916980799. The next prime is 4916980807. The reversal of 4916980800 is 80896194.

4916980800 is a `hidden beast` number, since 491 + 6 + 9 + 80 + 80 + 0 = 666.

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 (4916980807) 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, 13710 + ... + 100109.

It is an arithmetic number, because the mean of its divisors is an integer number (106692700).

Almost surely, 2^4916980800 is an apocalyptic number.

4916980800 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 4916980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962186800).

4916980800 is an abundant number, since it is smaller than the sum of its proper divisors (13007392800).

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

4916980800 is a wasteful number, since it uses less digits than its factorization.

4916980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113850 (or 113829 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 4916980800 is about 70121.1865273257. The cubic root of 4916980800 is about 1700.4590225288.

The spelling of 4916980800 in words is "four billion, nine hundred sixteen million, nine hundred eighty thousand, eight hundred".