66006061002 has 80 divisors (see below), whose sum is σ = 170166268800. Its totient is φ = 18732256992.

The previous prime is 66006060949. The next prime is 66006061003. The reversal of 66006061002 is 20016060066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66006061003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26358 + ... + 364289.

It is an arithmetic number, because the mean of its divisors is an integer number (2127078360).

Almost surely, 2^66006061002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66006061002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85083134400).

66006061002 is an abundant number, since it is smaller than the sum of its proper divisors (104160207798).

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

66006061002 is a wasteful number, since it uses less digits than its factorization.

66006061002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390817 (or 390808 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 66006061002 in words is "sixty-six billion, six million, sixty-one thousand, two".