5468486800 has 180 divisors, whose sum is σ = 15561250048. Its totient is φ = 1807200000.

The previous prime is 5468486797. The next prime is 5468486809. The reversal of 5468486800 is 86848645.

It is not an unprimeable number, because it can be changed into a prime (5468486809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21786675 + ... + 21786925.

Almost surely, 2^5468486800 is an apocalyptic number.

5468486800 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 5468486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780625024).

5468486800 is an abundant number, since it is smaller than the sum of its proper divisors (10092763248).

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

5468486800 is a wasteful number, since it uses less digits than its factorization.

5468486800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The square root of 5468486800 is about 73949.2177105343. The cubic root of 5468486800 is about 1761.7964181967.

The spelling of 5468486800 in words is "five billion, four hundred sixty-eight million, four hundred eighty-six thousand, eight hundred".