4967568000 has 320 divisors, whose sum is σ = 18454498920. Its totient is φ = 1324339200.

The previous prime is 4967567981. The next prime is 4967568013. The reversal of 4967568000 is 8657694.

It can be written as a sum of positive squares in 4 ways, for example, as 833592384 + 4133975616 = 28872^2 + 64296^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1294084 + ... + 1297916.

Almost surely, 2^4967568000 is an apocalyptic number.

4967568000 is a gapful number since it is divisible by the number (40) 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 4967568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9227249460).

4967568000 is an abundant number, since it is smaller than the sum of its proper divisors (13486930920).

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

4967568000 is an equidigital number, since it uses as much as digits as its factorization.

4967568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4967568000 is about 70480.9761566907. The cubic root of 4967568000 is about 1706.2707279211.

The spelling of 4967568000 in words is "four billion, nine hundred sixty-seven million, five hundred sixty-eight thousand".