4266076320 has 576 divisors, whose sum is σ = 16940327040. Its totient is φ = 967680000.

The previous prime is 4266076319. The next prime is 4266076337. The reversal of 4266076320 is 236706624.

It is a happy number.

4266076320 is a `hidden beast` number, since 4 + 26 + 607 + 6 + 3 + 20 = 666.

It is a super-3 number, since 3×4266076320³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16996195 + ... + 16996445.

It is an arithmetic number, because the mean of its divisors is an integer number (29410290).

Almost surely, 2^4266076320 is an apocalyptic number.

4266076320 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 4266076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470163520).

4266076320 is an abundant number, since it is smaller than the sum of its proper divisors (12674250720).

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

4266076320 is a wasteful number, since it uses less digits than its factorization.

4266076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4266076320 is about 65315.2074175685. The cubic root of 4266076320 is about 1621.8457243761.

The spelling of 4266076320 in words is "four billion, two hundred sixty-six million, seventy-six thousand, three hundred twenty".