540721664 has 80 divisors (see below), whose sum is σ = 1260336000. Its totient is φ = 231662592.

The previous prime is 540721661. The next prime is 540721667. The reversal of 540721664 is 466127045.

It is an interprime number because it is at equal distance from previous prime (540721661) and next prime (540721667).

It is not an unprimeable number, because it can be changed into a prime (540721661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174077 + ... + 177155.

It is an arithmetic number, because the mean of its divisors is an integer number (15754200).

Almost surely, 2^540721664 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 540721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630168000).

540721664 is an abundant number, since it is smaller than the sum of its proper divisors (719614336).

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

540721664 is an frugal number, since it uses more digits than its factorization.

540721664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 540721664 is about 23253.4226297980. The cubic root of 540721664 is about 814.6878822912.

The spelling of 540721664 in words is "five hundred forty million, seven hundred twenty-one thousand, six hundred sixty-four".