5046829632 has 448 divisors, whose sum is σ = 16932249600. Its totient is φ = 1463132160.

The previous prime is 5046829621. The next prime is 5046829657. The reversal of 5046829632 is 2369286405.

5046829632 is a `hidden beast` number, since 5 + 0 + 4 + 6 + 8 + 2 + 9 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39738753 + ... + 39738879.

It is an arithmetic number, because the mean of its divisors is an integer number (37795200).

Almost surely, 2^5046829632 is an apocalyptic number.

5046829632 is a gapful number since it is divisible by the number (52) 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 5046829632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466124800).

5046829632 is an abundant number, since it is smaller than the sum of its proper divisors (11885419968).

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

5046829632 is a wasteful number, since it uses less digits than its factorization.

5046829632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5046829632 is about 71041.0418842517. The cubic root of 5046829632 is about 1715.2978691394.

The spelling of 5046829632 in words is "five billion, forty-six million, eight hundred twenty-nine thousand, six hundred thirty-two".