4109681664 has 176 divisors, whose sum is σ = 13278315840. Its totient is φ = 1245265920.

The previous prime is 4109681647. The next prime is 4109681689. The reversal of 4109681664 is 4661869014.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297372 + ... + 310884.

Almost surely, 2^4109681664 is an apocalyptic number.

4109681664 is a gapful number since it is divisible by the number (44) 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 4109681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639157920).

4109681664 is an abundant number, since it is smaller than the sum of its proper divisors (9168634176).

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

4109681664 is a wasteful number, since it uses less digits than its factorization.

4109681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13553 (or 13529 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4109681664 is about 64106.7988906013. The cubic root of 4109681664 is about 1601.7794868246.

It can be divided in two parts, 41096 and 81664, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 4109681664 in words is "four billion, one hundred nine million, six hundred eighty-one thousand, six hundred sixty-four".