4664578754664 has 96 divisors (see below), whose sum is σ = 12977010764640. Its totient is φ = 1512563760000.

The previous prime is 4664578754657. The next prime is 4664578754729.

4664578754664 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 5 + 78 + 7 + 546 + 6 + 4 = 666.

4664578754664 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4664578754592 and 4664578754601.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14899339 + ... + 15209189.

It is an arithmetic number, because the mean of its divisors is an integer number (135177195465).

Almost surely, 2^{4664578754664} 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 4664578754664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488505382320).

4664578754664 is an abundant number, since it is smaller than the sum of its proper divisors (8312432009976).

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

4664578754664 is a wasteful number, since it uses less digits than its factorization.

4664578754664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315551 (or 315544 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 72.

The spelling of 4664578754664 in words is "four trillion, six hundred sixty-four billion, five hundred seventy-eight million, seven hundred fifty-four thousand, six hundred sixty-four".