6066614880 has 480 divisors, whose sum is σ = 22920226560. Its totient is φ = 1506677760.

The previous prime is 6066614857. The next prime is 6066614887. The reversal of 6066614880 is 884166606.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6066614880² = 73607632204474828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6066614887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17482867 + ... + 17483213.

It is an arithmetic number, because the mean of its divisors is an integer number (47750472).

Almost surely, 2^6066614880 is an apocalyptic number.

6066614880 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 6066614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460113280).

6066614880 is an abundant number, since it is smaller than the sum of its proper divisors (16853611680).

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

6066614880 is a wasteful number, since it uses less digits than its factorization.

6066614880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6066614880 is about 77888.4771965661. The cubic root of 6066614880 is about 1823.8207060607.

The spelling of 6066614880 in words is "six billion, sixty-six million, six hundred fourteen thousand, eight hundred eighty".