5000628664800 has 1728 divisors, whose sum is σ = 19762228886400. Its totient is φ = 1185369292800.

The previous prime is 5000628664747. The next prime is 5000628664807. The reversal of 5000628664800 is 84668260005.

5000628664800 is a `hidden beast` number, since 50 + 0 + 0 + 62 + 8 + 66 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000628664807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21461925484 + ... + 21461925716.

It is an arithmetic number, because the mean of its divisors is an integer number (11436475050).

Almost surely, 2^{5000628664800} is an apocalyptic number.

5000628664800 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 5000628664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9881114443200).

5000628664800 is an abundant number, since it is smaller than the sum of its proper divisors (14761600221600).

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

5000628664800 is a wasteful number, since it uses less digits than its factorization.

5000628664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5000628664800 in words is "five trillion, six hundred twenty-eight million, six hundred sixty-four thousand, eight hundred".