5006769739200 has 504 divisors, whose sum is σ = 18742232436720. Its totient is φ = 1264166092800.

The previous prime is 5006769739189. The next prime is 5006769739201. The reversal of 5006769739200 is 29379676005.

5006769739200 is a `hidden beast` number, since 500 + 6 + 7 + 69 + 73 + 9 + 2 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006769739201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 640493692 + ... + 640501508.

Almost surely, 2^{5006769739200} is an apocalyptic number.

5006769739200 is a gapful number since it is divisible by the number (50) 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 5006769739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9371116218360).

5006769739200 is an abundant number, since it is smaller than the sum of its proper divisors (13735462697520).

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

5006769739200 is a wasteful number, since it uses less digits than its factorization.

5006769739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 5006769739200 in words is "five trillion, six billion, seven hundred sixty-nine million, seven hundred thirty-nine thousand, two hundred".