4233720960 has 384 divisors, whose sum is σ = 17331350400. Its totient is φ = 967458816.

The previous prime is 4233720947. The next prime is 4233720973. The reversal of 4233720960 is 690273324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4233720947) and next prime (4233720973).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1086696 + ... + 1090584.

It is an arithmetic number, because the mean of its divisors is an integer number (45133725).

Almost surely, 2^4233720960 is an apocalyptic number.

4233720960 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 4233720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665675200).

4233720960 is an abundant number, since it is smaller than the sum of its proper divisors (13097629440).

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

4233720960 is an equidigital number, since it uses as much as digits as its factorization.

4233720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4233720960 is about 65067.0497256484. The cubic root of 4233720960 is about 1617.7351065731.

The spelling of 4233720960 in words is "four billion, two hundred thirty-three million, seven hundred twenty thousand, nine hundred sixty".