5000177632 has 192 divisors, whose sum is σ = 11250114624. Its totient is φ = 2176450560.

The previous prime is 5000177629. The next prime is 5000177647. The reversal of 5000177632 is 2367710005.

It is a junction number, because it is equal to n+sod(n) for n = 5000177594 and 5000177603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60243063 + ... + 60243145.

It is an arithmetic number, because the mean of its divisors is an integer number (58594347).

Almost surely, 2^5000177632 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 5000177632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625057312).

5000177632 is an abundant number, since it is smaller than the sum of its proper divisors (6249936992).

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

5000177632 is a wasteful number, since it uses less digits than its factorization.

5000177632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 5000177632 is about 70711.9341554168. The cubic root of 5000177632 is about 1709.9961962001.

Adding to 5000177632 its reverse (2367710005), we get a palindrome (7367887637).

The spelling of 5000177632 in words is "five billion, one hundred seventy-seven thousand, six hundred thirty-two".