4164645877700 has 576 divisors, whose sum is σ = 12402406195200. Its totient is φ = 1173770611200.

The previous prime is 4164645877633. The next prime is 4164645877727. The reversal of 4164645877700 is 77785464614.

It is a self number, because there is not a number n which added to its sum of digits gives 4164645877700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2042493281 + ... + 2042495319.

It is an arithmetic number, because the mean of its divisors is an integer number (21531955200).

Almost surely, 2^{4164645877700} 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 4164645877700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201203097600).

4164645877700 is an abundant number, since it is smaller than the sum of its proper divisors (8237760317500).

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

4164645877700 is a wasteful number, since it uses less digits than its factorization.

4164645877700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 59.

The spelling of 4164645877700 in words is "four trillion, one hundred sixty-four billion, six hundred forty-five million, eight hundred seventy-seven thousand, seven hundred".