66016064100 has 144 divisors (see below), whose sum is σ = 218512014336. Its totient is φ = 15074256000.

The previous prime is 66016064089. The next prime is 66016064131. The reversal of 66016064100 is 146061066.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2149855 + ... + 2180345.

It is an arithmetic number, because the mean of its divisors is an integer number (1517444544).

Almost surely, 2^66016064100 is an apocalyptic number.

66016064100 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 66016064100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109256007168).

66016064100 is an abundant number, since it is smaller than the sum of its proper divisors (152495950236).

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

66016064100 is a wasteful number, since it uses less digits than its factorization.

66016064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31546 (or 31539 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 66016064100 in words is "sixty-six billion, sixteen million, sixty-four thousand, one hundred".