4871153664 has 288 divisors, whose sum is σ = 15695807400. Its totient is φ = 1445068800.

The previous prime is 4871153653. The next prime is 4871153713. The reversal of 4871153664 is 4663511784.

4871153664 is a `hidden beast` number, since 48 + 7 + 11 + 536 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4223960064 + 647193600 = 64992^2 + 25440^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6948514 + ... + 6949214.

Almost surely, 2^4871153664 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 4871153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847903700).

4871153664 is an abundant number, since it is smaller than the sum of its proper divisors (10824653736).

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

4871153664 is a wasteful number, since it uses less digits than its factorization.

4871153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 748 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4871153664 is about 69793.6505994636. The cubic root of 4871153664 is about 1695.1596643915.

The spelling of 4871153664 in words is "four billion, eight hundred seventy-one million, one hundred fifty-three thousand, six hundred sixty-four".