4675041164864 has 112 divisors (see below), whose sum is σ = 10632627350400. Its totient is φ = 1997866930176.

The previous prime is 4675041164863. The next prime is 4675041164867. The reversal of 4675041164864 is 4684611405764.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (4675041164863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696827942 + ... + 696834650.

Almost surely, 2^{4675041164864} 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 4675041164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316313675200).

4675041164864 is an abundant number, since it is smaller than the sum of its proper divisors (5957586185536).

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

4675041164864 is a wasteful number, since it uses less digits than its factorization.

4675041164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 4675041164864 in words is "four trillion, six hundred seventy-five billion, forty-one million, one hundred sixty-four thousand, eight hundred sixty-four".