6066965278080 has 576 divisors, whose sum is σ = 24964843438080. Its totient is φ = 1352909537280.

The previous prime is 6066965278063. The next prime is 6066965278097. The reversal of 6066965278080 is 808725696606.

It is an interprime number because it is at equal distance from previous prime (6066965278063) and next prime (6066965278097).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 6066965277999 and 6066965278017.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 11309697 + ... + 11833983.

It is an arithmetic number, because the mean of its divisors is an integer number (43341742080).

Almost surely, 2^{6066965278080} is an apocalyptic number.

6066965278080 is a gapful number since it is divisible by the number (60) 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 6066965278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482421719040).

6066965278080 is an abundant number, since it is smaller than the sum of its proper divisors (18897878160000).

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

6066965278080 is a wasteful number, since it uses less digits than its factorization.

6066965278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524367 (or 524345 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 6066965278080 in words is "six trillion, sixty-six billion, nine hundred sixty-five million, two hundred seventy-eight thousand, eighty".