4225737600 has 960 divisors, whose sum is σ = 19007667360. Its totient is φ = 902430720.

The previous prime is 4225737557. The next prime is 4225737623. The reversal of 4225737600 is 67375224.

It is a happy number.

4225737600 is a `hidden beast` number, since 4 + 22 + 573 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30844732 + ... + 30844868.

Almost surely, 2^4225737600 is an apocalyptic number.

4225737600 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 4225737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9503833680).

4225737600 is an abundant number, since it is smaller than the sum of its proper divisors (14781929760).

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

4225737600 is a wasteful number, since it uses less digits than its factorization.

4225737600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 4225737600 is about 65005.6735985406. The cubic root of 4225737600 is about 1616.7176337541.

The spelling of 4225737600 in words is "four billion, two hundred twenty-five million, seven hundred thirty-seven thousand, six hundred".