66587248206780 has 384 divisors, whose sum is σ = 231752631527424. Its totient is φ = 13934990131200.

The previous prime is 66587248206761. The next prime is 66587248206841. The reversal of 66587248206780 is 8760284278566.

It is a super-3 number, since 3×66587248206780³ (a number of 42 digits) contains 333 as substring.

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, 1712131135 + ... + 1712170025.

It is an arithmetic number, because the mean of its divisors is an integer number (603522477936).

Almost surely, 2^{66587248206780} is an apocalyptic number.

66587248206780 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 66587248206780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115876315763712).

66587248206780 is an abundant number, since it is smaller than the sum of its proper divisors (165165383320644).

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

66587248206780 is a wasteful number, since it uses less digits than its factorization.

66587248206780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45445 (or 45443 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 69.

The spelling of 66587248206780 in words is "sixty-six trillion, five hundred eighty-seven billion, two hundred forty-eight million, two hundred six thousand, seven hundred eighty".