4656130560 has 640 divisors, whose sum is σ = 17818859520. Its totient is φ = 1150156800.

The previous prime is 4656130547. The next prime is 4656130621. The reversal of 4656130560 is 650316564.

4656130560 is a `hidden beast` number, since 4 + 6 + 5 + 61 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 87851494 + ... + 87851546.

It is an arithmetic number, because the mean of its divisors is an integer number (27841968).

Almost surely, 2^4656130560 is an apocalyptic number.

4656130560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909429760).

4656130560 is an abundant number, since it is smaller than the sum of its proper divisors (13162728960).

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

4656130560 is a wasteful number, since it uses less digits than its factorization.

4656130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4656130560 is about 68235.8451255643. The cubic root of 4656130560 is about 1669.8407296682.

The spelling of 4656130560 in words is "four billion, six hundred fifty-six million, one hundred thirty thousand, five hundred sixty".