645718080 has 448 divisors, whose sum is σ = 2501798400. Its totient is φ = 140894208.

The previous prime is 645718067. The next prime is 645718081. The reversal of 645718080 is 80817546.

645718080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (645718081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12183334 + ... + 12183386.

Almost surely, 2^645718080 is an apocalyptic number.

645718080 is a gapful number since it is divisible by the number (60) 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 645718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250899200).

645718080 is an abundant number, since it is smaller than the sum of its proper divisors (1856080320).

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

645718080 is a wasteful number, since it uses less digits than its factorization.

645718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 645718080 is about 25410.9834520429. The cubic root of 645718080 is about 864.3327764760.

The spelling of 645718080 in words is "six hundred forty-five million, seven hundred eighteen thousand, eighty".