4461715680 has 96 divisors (see below), whose sum is σ = 14284898208. Its totient is φ = 1170278400.

The previous prime is 4461715649. The next prime is 4461715681. The reversal of 4461715680 is 865171644.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461715681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46911 + ... + 105470.

It is an arithmetic number, because the mean of its divisors is an integer number (148801023).

Almost surely, 2^4461715680 is an apocalyptic number.

4461715680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4461715680 is an abundant number, since it is smaller than the sum of its proper divisors (9823182528).

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

4461715680 is a wasteful number, since it uses less digits than its factorization.

4461715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152460 (or 152452 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 4461715680 is about 66796.0753338098. The cubic root of 4461715680 is about 1646.2683565851.

The spelling of 4461715680 in words is "four billion, four hundred sixty-one million, seven hundred fifteen thousand, six hundred eighty".