4864425984 has 180 divisors, whose sum is σ = 15334956000. Its totient is φ = 1473576960.

The previous prime is 4864425959. The next prime is 4864425989. The reversal of 4864425984 is 4895244684.

It is a happy number.

4864425984 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 42 + 598 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4864425984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864425989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620517 + ... + 1623515.

It is an arithmetic number, because the mean of its divisors is an integer number (85194200).

Almost surely, 2^4864425984 is an apocalyptic number.

4864425984 is a gapful number since it is divisible by the number (44) 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 4864425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667478000).

4864425984 is an abundant number, since it is smaller than the sum of its proper divisors (10470530016).

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

4864425984 is a wasteful number, since it uses less digits than its factorization.

4864425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3015 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 4864425984 is about 69745.4370120369. The cubic root of 4864425984 is about 1694.3788947875.

The spelling of 4864425984 in words is "four billion, eight hundred sixty-four million, four hundred twenty-five thousand, nine hundred eighty-four".