4960185984 has 512 divisors, whose sum is σ = 16861824000. Its totient is φ = 1442230272.

The previous prime is 4960185983. The next prime is 4960186001. The reversal of 4960185984 is 4895810694.

4960185984 is a `hidden beast` number, since 49 + 6 + 0 + 1 + 8 + 598 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4960185984.

It is not an unprimeable number, because it can be changed into a prime (4960185983) 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, 105535849 + ... + 105535895.

It is an arithmetic number, because the mean of its divisors is an integer number (32933250).

Almost surely, 2^4960185984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430912000).

4960185984 is an abundant number, since it is smaller than the sum of its proper divisors (11901638016).

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

4960185984 is an equidigital number, since it uses as much as digits as its factorization.

4960185984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 4960185984 is about 70428.5878319309. The cubic root of 4960185984 is about 1705.4251121036.

The spelling of 4960185984 in words is "four billion, nine hundred sixty million, one hundred eighty-five thousand, nine hundred eighty-four".