4755575664 has 320 divisors, whose sum is σ = 16872729600. Its totient is φ = 1251873792.

The previous prime is 4755575659. The next prime is 4755575689. The reversal of 4755575664 is 4665755574.

It is a happy number.

4755575664 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 575 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4755575664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2124754 + ... + 2126990.

It is an arithmetic number, because the mean of its divisors is an integer number (52727280).

Almost surely, 2^4755575664 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 4755575664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436364800).

4755575664 is an abundant number, since it is smaller than the sum of its proper divisors (12117153936).

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

4755575664 is a wasteful number, since it uses less digits than its factorization.

4755575664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2305 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The square root of 4755575664 is about 68960.6820151889. The cubic root of 4755575664 is about 1681.6451741182.

The spelling of 4755575664 in words is "four billion, seven hundred fifty-five million, five hundred seventy-five thousand, six hundred sixty-four".