4496670766944 has 72 divisors (see below), whose sum is σ = 12800577607272. Its totient is φ = 1497346506240.

The previous prime is 4496670766933. The next prime is 4496670766961.

4496670766944 is a `hidden beast` number, since 4 + 496 + 6 + 7 + 0 + 76 + 69 + 4 + 4 = 666.

4496670766944 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7760229 + ... + 8319524.

It is an arithmetic number, because the mean of its divisors is an integer number (177785800101).

Almost surely, 2^{4496670766944} is an apocalyptic number.

It is an amenable number.

4496670766944 is an abundant number, since it is smaller than the sum of its proper divisors (8303906840328).

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

4496670766944 is a wasteful number, since it uses less digits than its factorization.

4496670766944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16080740 (or 16080729 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 4496670766944 in words is "four trillion, four hundred ninety-six billion, six hundred seventy million, seven hundred sixty-six thousand, nine hundred forty-four".