4842675569664 has 363 divisors, whose sum is σ = 14572342711263. Its totient is φ = 1608521213952.

The previous prime is 4842675569597. The next prime is 4842675569707. The reversal of 4842675569664 is 4669655762484.

It is a happy number.

The square root of 4842675569664 is 2200608.

It is a perfect power (a square), and thus also a powerful number.

4842675569664 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 6 + 7 + 556 + 9 + 6 + 64 = 666.

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

Its product of digits (2090188800) is a multiple of the sum of its prime divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4842675569592 and 4842675569601.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 17111927667 + ... + 17111927949.

Almost surely, 2^{4842675569664} is an apocalyptic number.

4842675569664 is the 2200608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4842675569664

4842675569664 is an abundant number, since it is smaller than the sum of its proper divisors (9729667141599).

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

4842675569664 is an frugal number, since it uses more digits than its factorization.

4842675569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 288 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 4842675569664 in words is "four trillion, eight hundred forty-two billion, six hundred seventy-five million, five hundred sixty-nine thousand, six hundred sixty-four".