4761649152 has 408 divisors, whose sum is σ = 16030507584. Its totient is φ = 1401421824.

The previous prime is 4761649133. The next prime is 4761649169. The reversal of 4761649152 is 2519461674.

4761649152 is a `hidden beast` number, since 476 + 164 + 9 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4761649098 and 4761649107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207028213 + ... + 207028235.

Almost surely, 2^4761649152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015253792).

4761649152 is an abundant number, since it is smaller than the sum of its proper divisors (11268858432).

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

4761649152 is an frugal number, since it uses more digits than its factorization.

4761649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4761649152 is about 69004.7038396659. The cubic root of 4761649152 is about 1682.3607626975.

The spelling of 4761649152 in words is "four billion, seven hundred sixty-one million, six hundred forty-nine thousand, one hundred fifty-two".