5678424000 has 672 divisors, whose sum is σ = 22153936896. Its totient is φ = 1437004800.

The previous prime is 5678423951. The next prime is 5678424019. The reversal of 5678424000 is 4248765.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44711937 + ... + 44712063.

It is an arithmetic number, because the mean of its divisors is an integer number (32967168).

Almost surely, 2^5678424000 is an apocalyptic number.

5678424000 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 5678424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076968448).

5678424000 is an abundant number, since it is smaller than the sum of its proper divisors (16475512896).

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

5678424000 is a wasteful number, since it uses less digits than its factorization.

5678424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5678424000 is about 75355.3183259151. The cubic root of 5678424000 is about 1784.0592458221.

The spelling of 5678424000 in words is "five billion, six hundred seventy-eight million, four hundred twenty-four thousand".