4784693760 has 1280 divisors, whose sum is σ = 22627123200. Its totient is φ = 928972800.

The previous prime is 4784693747. The next prime is 4784693761. The reversal of 4784693760 is 673964874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 4784693697 and 4784693706.

It is not an unprimeable number, because it can be changed into a prime (4784693761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154344945 + ... + 154344975.

It is an arithmetic number, because the mean of its divisors is an integer number (17677440).

Almost surely, 2^4784693760 is an apocalyptic number.

4784693760 is a gapful number since it is divisible by the number (40) 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 4784693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313561600).

4784693760 is an abundant number, since it is smaller than the sum of its proper divisors (17842429440).

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

4784693760 is a wasteful number, since it uses less digits than its factorization.

4784693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 4784693760 is about 69171.4808284455. The cubic root of 4784693760 is about 1685.0703959648.

The spelling of 4784693760 in words is "four billion, seven hundred eighty-four million, six hundred ninety-three thousand, seven hundred sixty".