4842009984 has 128 divisors (see below), whose sum is σ = 14762419200. Its totient is φ = 1377460224.

The previous prime is 4842009973. The next prime is 4842010003. The reversal of 4842009984 is 4899002484.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638664 + ... + 646200.

It is an arithmetic number, because the mean of its divisors is an integer number (115331400).

Almost surely, 2^4842009984 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 4842009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381209600).

4842009984 is an abundant number, since it is smaller than the sum of its proper divisors (9920409216).

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

4842009984 is a wasteful number, since it uses less digits than its factorization.

4842009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 4842009984 is about 69584.5527685563. The cubic root of 4842009984 is about 1691.7722365538.

The spelling of 4842009984 in words is "four billion, eight hundred forty-two million, nine thousand, nine hundred eighty-four".