66980100096 has 1344 divisors, whose sum is σ = 270698500800. Its totient is φ = 16052649984.

The previous prime is 66980100091. The next prime is 66980100107. The reversal of 66980100096 is 69000108966.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66980100091) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2309658610 + ... + 2309658638.

It is an arithmetic number, because the mean of its divisors is an integer number (201412575).

Almost surely, 2^66980100096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66980100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135349250400).

66980100096 is an abundant number, since it is smaller than the sum of its proper divisors (203718400704).

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

66980100096 is a wasteful number, since it uses less digits than its factorization.

66980100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 66980100096 in words is "sixty-six billion, nine hundred eighty million, one hundred thousand, ninety-six".