4641965856 has 144 divisors (see below), whose sum is σ = 14427504000. Its totient is φ = 1404034560.

The previous prime is 4641965851. The next prime is 4641965863. The reversal of 4641965856 is 6585691464.

4641965856 is a `hidden beast` number, since 46 + 4 + 19 + 6 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4641965851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2321145 + ... + 2323143.

It is an arithmetic number, because the mean of its divisors is an integer number (100191000).

Almost surely, 2^4641965856 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 4641965856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213752000).

4641965856 is an abundant number, since it is smaller than the sum of its proper divisors (9785538144).

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

4641965856 is a wasteful number, since it uses less digits than its factorization.

4641965856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2748 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 4641965856 is about 68131.9738155295. The cubic root of 4641965856 is about 1668.1457009175.

The spelling of 4641965856 in words is "four billion, six hundred forty-one million, nine hundred sixty-five thousand, eight hundred fifty-six".