66958678080 has 448 divisors, whose sum is σ = 276249262080. Its totient is φ = 14948333568.

The previous prime is 66958678051. The next prime is 66958678081. The reversal of 66958678080 is 8087685966.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 66958677999 and 66958678017.

It is not an unprimeable number, because it can be changed into a prime (66958678081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2587767 + ... + 2613513.

Almost surely, 2^66958678080 is an apocalyptic number.

66958678080 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 66958678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138124631040).

66958678080 is an abundant number, since it is smaller than the sum of its proper divisors (209290584000).

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

66958678080 is a wasteful number, since it uses less digits than its factorization.

66958678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25823 (or 25807 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 66958678080 in words is "sixty-six billion, nine hundred fifty-eight million, six hundred seventy-eight thousand, eighty".