4701984768 has 384 divisors, whose sum is σ = 15557068800. Its totient is φ = 1393459200.

The previous prime is 4701984767. The next prime is 4701984773. The reversal of 4701984768 is 8674891074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4701984761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22284183 + ... + 22284393.

It is an arithmetic number, because the mean of its divisors is an integer number (40513200).

Almost surely, 2^4701984768 is an apocalyptic number.

4701984768 is a gapful number since it is divisible by the number (48) 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 4701984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778534400).

4701984768 is an abundant number, since it is smaller than the sum of its proper divisors (10855084032).

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

4701984768 is a wasteful number, since it uses less digits than its factorization.

4701984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4701984768 is about 68571.0198844964. The cubic root of 4701984768 is about 1675.3044392650.

The spelling of 4701984768 in words is "four billion, seven hundred one million, nine hundred eighty-four thousand, seven hundred sixty-eight".