4641538560 has 320 divisors, whose sum is σ = 15959192832. Its totient is φ = 1146617856.

The previous prime is 4641538541. The next prime is 4641538631. The reversal of 4641538560 is 658351464.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9530637 + ... + 9531123.

Almost surely, 2^4641538560 is an apocalyptic number.

4641538560 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 4641538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979596416).

4641538560 is an abundant number, since it is smaller than the sum of its proper divisors (11317654272).

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

4641538560 is a wasteful number, since it uses less digits than its factorization.

4641538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 4641538560 is about 68128.8379469370. The cubic root of 4641538560 is about 1668.0945147118.

The spelling of 4641538560 in words is "four billion, six hundred forty-one million, five hundred thirty-eight thousand, five hundred sixty".