4068964061568 has 384 divisors, whose sum is σ = 13751925208320. Its totient is φ = 1130424864768.

The previous prime is 4068964061549. The next prime is 4068964061581. The reversal of 4068964061568 is 8651604698604.

4068964061568 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 9 + 6 + 4 + 0 + 61 + 568 = 666.

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

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

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, 621497271 + ... + 621503817.

It is an arithmetic number, because the mean of its divisors is an integer number (35812305230).

Almost surely, 2^{4068964061568} is an apocalyptic number.

4068964061568 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 4068964061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875962604160).

4068964061568 is an abundant number, since it is smaller than the sum of its proper divisors (9682961146752).

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

4068964061568 is a wasteful number, since it uses less digits than its factorization.

4068964061568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8694 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 4068964061568 in words is "four trillion, sixty-eight billion, nine hundred sixty-four million, sixty-one thousand, five hundred sixty-eight".