4812057984 has 64 divisors (see below), whose sum is σ = 12799074240. Its totient is φ = 1601880576.

The previous prime is 4812057979. The next prime is 4812057997. The reversal of 4812057984 is 4897502184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 294247 + ... + 310169.

It is an arithmetic number, because the mean of its divisors is an integer number (199985535).

Almost surely, 2^4812057984 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 4812057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399537120).

4812057984 is an abundant number, since it is smaller than the sum of its proper divisors (7987016256).

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

4812057984 is a wasteful number, since it uses less digits than its factorization.

4812057984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16727 (or 16715 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 4812057984 is about 69368.9987242140. The cubic root of 4812057984 is about 1688.2766630223.

The spelling of 4812057984 in words is "four billion, eight hundred twelve million, fifty-seven thousand, nine hundred eighty-four".