4646674766464 has 64 divisors (see below), whose sum is σ = 9876401409600. Its totient is φ = 2169978204160.

The previous prime is 4646674766443. The next prime is 4646674766477.

4646674766464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4646674766393 and 4646674766402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7865404 + ... + 8435515.

It is an arithmetic number, because the mean of its divisors is an integer number (154318772025).

Almost surely, 2^{4646674766464} is an apocalyptic number.

It is an amenable number.

4646674766464 is an abundant number, since it is smaller than the sum of its proper divisors (5229726643136).

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

4646674766464 is a wasteful number, since it uses less digits than its factorization.

4646674766464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16301081 (or 16301069 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 70.

The spelling of 4646674766464 in words is "four trillion, six hundred forty-six billion, six hundred seventy-four million, seven hundred sixty-six thousand, four hundred sixty-four".