4235956560 has 640 divisors, whose sum is σ = 16867491840. Its totient is φ = 979776000.

The previous prime is 4235956547. The next prime is 4235956573. The reversal of 4235956560 is 656595324.

4235956560 is a `hidden beast` number, since 4 + 2 + 3 + 595 + 6 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4235956547) and next prime (4235956573).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 59661325 + ... + 59661395.

It is an arithmetic number, because the mean of its divisors is an integer number (26355456).

Almost surely, 2^4235956560 is an apocalyptic number.

4235956560 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 4235956560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433745920).

4235956560 is an abundant number, since it is smaller than the sum of its proper divisors (12631535280).

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

4235956560 is a wasteful number, since it uses less digits than its factorization.

4235956560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 4235956560 is about 65084.2266605358. The cubic root of 4235956560 is about 1618.0198027262.

The spelling of 4235956560 in words is "four billion, two hundred thirty-five million, nine hundred fifty-six thousand, five hundred sixty".