5778648000 has 448 divisors, whose sum is σ = 21910487040. Its totient is φ = 1489536000.

The previous prime is 5778647999. The next prime is 5778648013. The reversal of 5778648000 is 8468775.

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 63 ways as a sum of consecutive naturals, for example, 6695569 + ... + 6696431.

Almost surely, 2^5778648000 is an apocalyptic number.

5778648000 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 5778648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955243520).

5778648000 is an abundant number, since it is smaller than the sum of its proper divisors (16131839040).

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

5778648000 is a wasteful number, since it uses less digits than its factorization.

5778648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 5778648000 is about 76017.4190564242. The cubic root of 5778648000 is about 1794.4942877997.

The spelling of 5778648000 in words is "five billion, seven hundred seventy-eight million, six hundred forty-eight thousand".