66860226800640 has 1408 divisors, whose sum is σ = 299577104547840. Its totient is φ = 13762599321600.

The previous prime is 66860226800623. The next prime is 66860226800663. The reversal of 66860226800640 is 4600862206866.

66860226800640 is a `hidden beast` number, since 6 + 6 + 8 + 602 + 26 + 8 + 0 + 0 + 6 + 4 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 515708625 + ... + 515838255.

Almost surely, 2^{66860226800640} is an apocalyptic number.

66860226800640 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 66860226800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149788552273920).

66860226800640 is an abundant number, since it is smaller than the sum of its proper divisors (232716877747200).

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

66860226800640 is a wasteful number, since it uses less digits than its factorization.

66860226800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129726 (or 129702 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 66860226800640 in words is "sixty-six trillion, eight hundred sixty billion, two hundred twenty-six million, eight hundred thousand, six hundred forty".