4268506815360 has 384 divisors, whose sum is σ = 15711890688000. Its totient is φ = 1064707338240.

The previous prime is 4268506815359. The next prime is 4268506815403. The reversal of 4268506815360 is 635186058624.

4268506815360 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 506 + 81 + 53 + 6 + 0 = 666.

4268506815360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4268506815360³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4268506815297 and 4268506815306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8398905 + ... + 8892615.

It is an arithmetic number, because the mean of its divisors is an integer number (40916382000).

Almost surely, 2^{4268506815360} is an apocalyptic number.

4268506815360 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 4268506815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7855945344000).

4268506815360 is an abundant number, since it is smaller than the sum of its proper divisors (11443383872640).

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

4268506815360 is a wasteful number, since it uses less digits than its factorization.

4268506815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493834 (or 493819 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4268506815360 in words is "four trillion, two hundred sixty-eight billion, five hundred six million, eight hundred fifteen thousand, three hundred sixty".