4561328640 has 160 divisors (see below), whose sum is σ = 15907928256. Its totient is φ = 1105756160.

The previous prime is 4561328617. The next prime is 4561328647. The reversal of 4561328640 is 468231654.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (4561328647) 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, 57484 + ... + 111476.

Almost surely, 2^4561328640 is an apocalyptic number.

4561328640 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 4561328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953964128).

4561328640 is an abundant number, since it is smaller than the sum of its proper divisors (11346599616).

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

4561328640 is a wasteful number, since it uses less digits than its factorization.

4561328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54030 (or 54014 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4561328640 is about 67537.6090782018. The cubic root of 4561328640 is about 1658.4299084576.

The spelling of 4561328640 in words is "four billion, five hundred sixty-one million, three hundred twenty-eight thousand, six hundred forty".