4234767360768 has 864 divisors, whose sum is σ = 15278398320640. Its totient is φ = 1142810726400.

The previous prime is 4234767360727. The next prime is 4234767360779. The reversal of 4234767360768 is 8670637674324.

4234767360768 is a `hidden beast` number, since 4 + 23 + 476 + 73 + 6 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4029273843 + ... + 4029274893.

Almost surely, 2^{4234767360768} is an apocalyptic number.

4234767360768 is a gapful number since it is divisible by the number (48) 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 4234767360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7639199160320).

4234767360768 is an abundant number, since it is smaller than the sum of its proper divisors (11043630959872).

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

4234767360768 is a wasteful number, since it uses less digits than its factorization.

4234767360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 63.

The spelling of 4234767360768 in words is "four trillion, two hundred thirty-four billion, seven hundred sixty-seven million, three hundred sixty thousand, seven hundred sixty-eight".