66024160560 has 320 divisors, whose sum is σ = 231573749760. Its totient is φ = 17287603200.

The previous prime is 66024160547. The next prime is 66024160583. The reversal of 66024160560 is 6506142066.

It is a happy number.

66024160560 is a `hidden beast` number, since 6 + 6 + 0 + 2 + 41 + 605 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27705129 + ... + 27707511.

It is an arithmetic number, because the mean of its divisors is an integer number (723667968).

Almost surely, 2^66024160560 is an apocalyptic number.

66024160560 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 66024160560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115786874880).

66024160560 is an abundant number, since it is smaller than the sum of its proper divisors (165549589200).

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

66024160560 is a wasteful number, since it uses less digits than its factorization.

66024160560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 660241 and 60560, that added together give a square (720801 = 849²).

The spelling of 66024160560 in words is "sixty-six billion, twenty-four million, one hundred sixty thousand, five hundred sixty".