4978088960 has 176 divisors, whose sum is σ = 13308775200. Its totient is φ = 1773993984.

The previous prime is 4978088933. The next prime is 4978089001. The reversal of 4978088960 is 698808794.

It is a self number, because there is not a number n which added to its sum of digits gives 4978088960.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1928951 + ... + 1931529.

Almost surely, 2^4978088960 is an apocalyptic number.

4978088960 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 4978088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654387600).

4978088960 is an abundant number, since it is smaller than the sum of its proper divisors (8330686240).

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

4978088960 is a wasteful number, since it uses less digits than its factorization.

4978088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The square root of 4978088960 is about 70555.5735573030. The cubic root of 4978088960 is about 1707.4744656827.

The spelling of 4978088960 in words is "four billion, nine hundred seventy-eight million, eighty-eight thousand, nine hundred sixty".