4977680000 has 160 divisors (see below), whose sum is σ = 12688563360. Its totient is φ = 1943424000.

The previous prime is 4977679979. The next prime is 4977680009. The reversal of 4977680000 is 867794.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 4977680000.

It is not an unprimeable number, because it can be changed into a prime (4977680009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3439277 + ... + 3440723.

It is an arithmetic number, because the mean of its divisors is an integer number (79303521).

Almost surely, 2^4977680000 is an apocalyptic number.

4977680000 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 4977680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344281680).

4977680000 is an abundant number, since it is smaller than the sum of its proper divisors (7710883360).

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

4977680000 is an equidigital number, since it uses as much as digits as its factorization.

4977680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 4977680000 is about 70552.6753567857. The cubic root of 4977680000 is about 1707.4277069174.

The spelling of 4977680000 in words is "four billion, nine hundred seventy-seven million, six hundred eighty thousand".