4656655872 has 320 divisors, whose sum is σ = 15226168320. Its totient is φ = 1393459200.

The previous prime is 4656655867. The next prime is 4656655879. The reversal of 4656655872 is 2785566564.

4656655872 is a `hidden beast` number, since 4 + 6 + 56 + 6 + 5 + 587 + 2 = 666.

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

Its product of digits (12096000) is a multiple of the sum of its prime divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656655879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17183097 + ... + 17183367.

It is an arithmetic number, because the mean of its divisors is an integer number (47581776).

Almost surely, 2^4656655872 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 4656655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613084160).

4656655872 is an abundant number, since it is smaller than the sum of its proper divisors (10569512448).

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

4656655872 is a wasteful number, since it uses less digits than its factorization.

4656655872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 4656655872 is about 68239.6942548836. The cubic root of 4656655872 is about 1669.9035253291.

The spelling of 4656655872 in words is "four billion, six hundred fifty-six million, six hundred fifty-five thousand, eight hundred seventy-two".