4234963783680 has 3744 divisors, whose sum is σ = 19927484179200. Its totient is φ = 824036032512.

The previous prime is 4234963783669. The next prime is 4234963783681. The reversal of 4234963783680 is 863873694324.

4234963783680 is a `hidden beast` number, since 4 + 2 + 3 + 496 + 3 + 7 + 83 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234963783681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 114458480622 + ... + 114458480658.

It is an arithmetic number, because the mean of its divisors is an integer number (5322511800).

Almost surely, 2^{4234963783680} is an apocalyptic number.

4234963783680 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 4234963783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963742089600).

4234963783680 is an abundant number, since it is smaller than the sum of its proper divisors (15692520395520).

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

4234963783680 is a wasteful number, since it uses less digits than its factorization.

4234963783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 4234963783680 in words is "four trillion, two hundred thirty-four billion, nine hundred sixty-three million, seven hundred eighty-three thousand, six hundred eighty".