4397016960 has 576 divisors, whose sum is σ = 18348286320. Its totient is φ = 1003290624.

The previous prime is 4397016947. The next prime is 4397017057. The reversal of 4397016960 is 696107934.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620192 + ... + 7620768.

Almost surely, 2^4397016960 is an apocalyptic number.

4397016960 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 4397016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174143160).

4397016960 is an abundant number, since it is smaller than the sum of its proper divisors (13951269360).

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

4397016960 is an equidigital number, since it uses as much as digits as its factorization.

4397016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 4397016960 is about 66310.0064846928. The cubic root of 4397016960 is about 1638.2721441315.

The spelling of 4397016960 in words is "four billion, three hundred ninety-seven million, sixteen thousand, nine hundred sixty".