4063272960 has 224 divisors, whose sum is σ = 13321344960. Its totient is φ = 1056964608.

The previous prime is 4063272907. The next prime is 4063272977. The reversal of 4063272960 is 692723604.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283456 + ... + 5284224.

It is an arithmetic number, because the mean of its divisors is an integer number (59470290).

Almost surely, 2^4063272960 is an apocalyptic number.

4063272960 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 4063272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660672480).

4063272960 is an abundant number, since it is smaller than the sum of its proper divisors (9258072000).

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

4063272960 is an equidigital number, since it uses as much as digits as its factorization.

4063272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 4063272960 is about 63743.8072286242. The cubic root of 4063272960 is about 1595.7272666671.

The spelling of 4063272960 in words is "four billion, sixty-three million, two hundred seventy-two thousand, nine hundred sixty".