4266753600 has 168 divisors, whose sum is σ = 14031468000. Its totient is φ = 1135124480.

The previous prime is 4266753599. The next prime is 4266753629. The reversal of 4266753600 is 63576624.

It is a super-2 number, since 2×4266753600² = 36410372566225920000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2845651 + ... + 2847149.

Almost surely, 2^4266753600 is an apocalyptic number.

4266753600 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 4266753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015734000).

4266753600 is an abundant number, since it is smaller than the sum of its proper divisors (9764714400).

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

4266753600 is a wasteful number, since it uses less digits than its factorization.

4266753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 4266753600 is about 65320.3919155420. The cubic root of 4266753600 is about 1621.9315476217.

The spelling of 4266753600 in words is "four billion, two hundred sixty-six million, seven hundred fifty-three thousand, six hundred".