4782965760 has 440 divisors, whose sum is σ = 18071243520. Its totient is φ = 1206337536.

The previous prime is 4782965753. The next prime is 4782965807. The reversal of 4782965760 is 675692874.

4782965760 is a `hidden beast` number, since 47 + 8 + 29 + 6 + 576 + 0 = 666.

It is a super-2 number, since 2×4782965760² = 45753522922664755200, which contains 22 as substring.

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 = 4782965697 and 4782965706.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7879377 + ... + 7879983.

It is an arithmetic number, because the mean of its divisors is an integer number (41071008).

Almost surely, 2^4782965760 is an apocalyptic number.

4782965760 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 4782965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035621760).

4782965760 is an abundant number, since it is smaller than the sum of its proper divisors (13288277760).

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

4782965760 is a wasteful number, since it uses less digits than its factorization.

4782965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4782965760 is about 69158.9890035995. The cubic root of 4782965760 is about 1684.8675162268.

The spelling of 4782965760 in words is "four billion, seven hundred eighty-two million, nine hundred sixty-five thousand, seven hundred sixty".