645741600 has 648 divisors, whose sum is σ = 2734043760. Its totient is φ = 131604480.

The previous prime is 645741589. The next prime is 645741631. The reversal of 645741600 is 6147546.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33986391 + ... + 33986409.

Almost surely, 2^645741600 is an apocalyptic number.

645741600 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 645741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367021880).

645741600 is an abundant number, since it is smaller than the sum of its proper divisors (2088302160).

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

645741600 is a wasteful number, since it uses less digits than its factorization.

645741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 645741600 is about 25411.4462398345. The cubic root of 645741600 is about 864.3432706636.

The spelling of 645741600 in words is "six hundred forty-five million, seven hundred forty-one thousand, six hundred".