4068761656320 has 1408 divisors, whose sum is σ = 15968407910400. Its totient is φ = 977890443264.

The previous prime is 4068761656313. The next prime is 4068761656357. The reversal of 4068761656320 is 236561678604.

4068761656320 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 76 + 1 + 6 + 563 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15470576509 + ... + 15470576771.

It is an arithmetic number, because the mean of its divisors is an integer number (11341198800).

Almost surely, 2^{4068761656320} is an apocalyptic number.

4068761656320 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 4068761656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984203955200).

4068761656320 is an abundant number, since it is smaller than the sum of its proper divisors (11899646254080).

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

4068761656320 is a wasteful number, since it uses less digits than its factorization.

4068761656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4068761656320 in words is "four trillion, sixty-eight billion, seven hundred sixty-one million, six hundred fifty-six thousand, three hundred twenty".