4675408045764 has 96 divisors (see below), whose sum is σ = 11684824905600. Its totient is φ = 1449866373120.

The previous prime is 4675408045753. The next prime is 4675408045793.

4675408045764 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4675408045698 and 4675408045707.

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 31 ways as a sum of consecutive naturals, for example, 9065974 + ... + 9567794.

It is an arithmetic number, because the mean of its divisors is an integer number (121716926100).

Almost surely, 2^{4675408045764} 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 4675408045764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842412452800).

4675408045764 is an abundant number, since it is smaller than the sum of its proper divisors (7009416859836).

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

4675408045764 is a wasteful number, since it uses less digits than its factorization.

4675408045764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502373 (or 502371 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 60.

The spelling of 4675408045764 in words is "four trillion, six hundred seventy-five billion, four hundred eight million, forty-five thousand, seven hundred sixty-four".