4641960960 has 1056 divisors, whose sum is σ = 21029928192. Its totient is φ = 955514880.

The previous prime is 4641960931. The next prime is 4641960971. The reversal of 4641960960 is 690691464.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113218540 + ... + 113218580.

Almost surely, 2^4641960960 is an apocalyptic number.

4641960960 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 4641960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514964096).

4641960960 is an abundant number, since it is smaller than the sum of its proper divisors (16387967232).

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

4641960960 is a wasteful number, since it uses less digits than its factorization.

4641960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4641960960 is about 68131.9378852532. The cubic root of 4641960960 is about 1668.1451144386.

The spelling of 4641960960 in words is "four billion, six hundred forty-one million, nine hundred sixty thousand, nine hundred sixty".