645069600 has 216 divisors, whose sum is σ = 2599833600. Its totient is φ = 147432960.

The previous prime is 645069563. The next prime is 645069611. The reversal of 645069600 is 6960546.

It is a happy number.

645069600 is a `hidden beast` number, since 6 + 45 + 0 + 6 + 9 + 600 = 666.

645069600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×645069600² = 832229577688320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44001 + ... + 56799.

Almost surely, 2^645069600 is an apocalyptic number.

645069600 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 645069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299916800).

645069600 is an abundant number, since it is smaller than the sum of its proper divisors (1954764000).

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

645069600 is a wasteful number, since it uses less digits than its factorization.

645069600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12832 (or 12816 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 645069600 is about 25398.2204100996. The cubic root of 645069600 is about 864.0433363037.

The spelling of 645069600 in words is "six hundred forty-five million, sixty-nine thousand, six hundred".