66546750096 has 100 divisors (see below), whose sum is σ = 192735757500. Its totient is φ = 22167260928.

The previous prime is 66546750079. The next prime is 66546750181. The reversal of 66546750096 is 69005764566.

66546750096 is a `hidden beast` number, since 6 + 6 + 5 + 46 + 7 + 500 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51112166400 + 15434583696 = 226080^2 + 124236^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1990930 + ... + 2024078.

It is an arithmetic number, because the mean of its divisors is an integer number (1927357575).

Almost surely, 2^66546750096 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 66546750096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96367878750).

66546750096 is an abundant number, since it is smaller than the sum of its proper divisors (126189007404).

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

66546750096 is a wasteful number, since it uses less digits than its factorization.

66546750096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34718 (or 34703 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 66546750096 in words is "sixty-six billion, five hundred forty-six million, seven hundred fifty thousand, ninety-six".