4629749760 has 336 divisors, whose sum is σ = 16919051760. Its totient is φ = 1167851520.

The previous prime is 4629749749. The next prime is 4629749767. The reversal of 4629749760 is 679479264.

It is a happy number.

4629749760 is a `hidden beast` number, since 4 + 6 + 2 + 97 + 497 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4629749697 and 4629749706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629749767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7003830 + ... + 7004490.

Almost surely, 2^4629749760 is an apocalyptic number.

4629749760 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 4629749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8459525880).

4629749760 is an abundant number, since it is smaller than the sum of its proper divisors (12289302000).

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

4629749760 is a wasteful number, since it uses less digits than its factorization.

4629749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 4629749760 is about 68042.2645125807. The cubic root of 4629749760 is about 1666.6810821864.

The spelling of 4629749760 in words is "four billion, six hundred twenty-nine million, seven hundred forty-nine thousand, seven hundred sixty".