4785629760 has 84 divisors (see below), whose sum is σ = 16460582268. Its totient is φ = 1276167168.

The previous prime is 4785629741. The next prime is 4785629777. The reversal of 4785629760 is 679265874.

4785629760 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 629 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 486467136 + 4299162624 = 22056^2 + 65568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4785629697 and 4785629706.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 827959 + ... + 833718.

Almost surely, 2^4785629760 is an apocalyptic number.

4785629760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4785629760 is an abundant number, since it is smaller than the sum of its proper divisors (11674952508).

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

4785629760 is a wasteful number, since it uses less digits than its factorization.

4785629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661700 (or 1661687 counting only the distinct ones).

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

The square root of 4785629760 is about 69178.2462917354. The cubic root of 4785629760 is about 1685.1802687615.

The spelling of 4785629760 in words is "four billion, seven hundred eighty-five million, six hundred twenty-nine thousand, seven hundred sixty".