4646576756464 has 40 divisors (see below), whose sum is σ = 9405102856320. Its totient is φ = 2219688639168.

The previous prime is 4646576756461. The next prime is 4646576756473.

It is a happy number.

4646576756464 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (70) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4646576756393 and 4646576756402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4646576756461) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7033462 + ... + 7665685.

It is an arithmetic number, because the mean of its divisors is an integer number (235127571408).

Almost surely, 2^{4646576756464} is an apocalyptic number.

It is an amenable number.

4646576756464 is an abundant number, since it is smaller than the sum of its proper divisors (4758526099856).

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

4646576756464 is a wasteful number, since it uses less digits than its factorization.

4646576756464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14700037 (or 14700031 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 70.

The spelling of 4646576756464 in words is "four trillion, six hundred forty-six billion, five hundred seventy-six million, seven hundred fifty-six thousand, four hundred sixty-four".