5068630274400 has 3024 divisors, whose sum is σ = 24129709599744. Its totient is φ = 1016167680000.

The previous prime is 5068630274377. The next prime is 5068630274419. The reversal of 5068630274400 is 44720368605.

5068630274400 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 630 + 2 + 7 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 15313082235 + ... + 15313082565.

Almost surely, 2^{5068630274400} is an apocalyptic number.

5068630274400 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 5068630274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064854799872).

5068630274400 is an abundant number, since it is smaller than the sum of its proper divisors (19061079325344).

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

5068630274400 is a wasteful number, since it uses less digits than its factorization.

5068630274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5068630274400 in words is "five trillion, sixty-eight billion, six hundred thirty million, two hundred seventy-four thousand, four hundred".