4268352000 has 640 divisors, whose sum is σ = 16178393088. Its totient is φ = 989184000.

The previous prime is 4268351987. The next prime is 4268352007. The reversal of 4268352000 is 2538624.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268352007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90815977 + ... + 90816023.

Almost surely, 2^4268352000 is an apocalyptic number.

4268352000 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 4268352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089196544).

4268352000 is an abundant number, since it is smaller than the sum of its proper divisors (11910041088).

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

4268352000 is a wasteful number, since it uses less digits than its factorization.

4268352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4268352000 is about 65332.6258465095. The cubic root of 4268352000 is about 1622.1340569113.

The spelling of 4268352000 in words is "four billion, two hundred sixty-eight million, three hundred fifty-two thousand".