4351968000 has 720 divisors, whose sum is σ = 17130649536. Its totient is φ = 1094860800.

The previous prime is 4351967929. The next prime is 4351968029. The reversal of 4351968000 is 8691534.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59615964 + ... + 59616036.

Almost surely, 2^4351968000 is an apocalyptic number.

4351968000 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 4351968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8565324768).

4351968000 is an abundant number, since it is smaller than the sum of its proper divisors (12778681536).

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

4351968000 is an equidigital number, since it uses as much as digits as its factorization.

4351968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4351968000 is about 65969.4474738117. The cubic root of 4351968000 is about 1632.6580391345.

The spelling of 4351968000 in words is "four billion, three hundred fifty-one million, nine hundred sixty-eight thousand".