4662814560768 has 2880 divisors, whose sum is σ = 19455348528000. Its totient is φ = 1088570327040.

The previous prime is 4662814560751. The next prime is 4662814560773. The reversal of 4662814560768 is 8670654182664.

It is a happy number.

4662814560768 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 8 + 1 + 4 + 560 + 7 + 68 = 666.

It is a super-2 number, since 2×4662814560768² (a number of 26 digits) contains 22 as substring.

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

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 287 ways as a sum of consecutive naturals, for example, 150413372913 + ... + 150413372943.

It is an arithmetic number, because the mean of its divisors is an integer number (6755329350).

Almost surely, 2^{4662814560768} is an apocalyptic number.

4662814560768 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 4662814560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9727674264000).

4662814560768 is an abundant number, since it is smaller than the sum of its proper divisors (14792533967232).

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

4662814560768 is a wasteful number, since it uses less digits than its factorization.

4662814560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4662814560768 in words is "four trillion, six hundred sixty-two billion, eight hundred fourteen million, five hundred sixty thousand, seven hundred sixty-eight".