4978359360 has 448 divisors, whose sum is σ = 19117056000. Its totient is φ = 1212309504.

The previous prime is 4978359343. The next prime is 4978359367. The reversal of 4978359360 is 639538794.

4978359360 is a `hidden beast` number, since 49 + 7 + 8 + 3 + 593 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4978359297 and 4978359306.

It is not an unprimeable number, because it can be changed into a prime (4978359367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14264466 + ... + 14264814.

It is an arithmetic number, because the mean of its divisors is an integer number (42672000).

Almost surely, 2^4978359360 is an apocalyptic number.

4978359360 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 4978359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558528000).

4978359360 is an abundant number, since it is smaller than the sum of its proper divisors (14138696640).

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

4978359360 is a wasteful number, since it uses less digits than its factorization.

4978359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 4978359360 is about 70557.4897512660. The cubic root of 4978359360 is about 1707.5053806744.

The spelling of 4978359360 in words is "four billion, nine hundred seventy-eight million, three hundred fifty-nine thousand, three hundred sixty".