645696000 has 480 divisors, whose sum is σ = 2489572800. Its totient is φ = 160358400.

The previous prime is 645695983. The next prime is 645696017. The reversal of 645696000 is 696546.

It is a happy number.

645696000 is a `hidden beast` number, since 6 + 45 + 6 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (645695983) and next prime (645696017).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10943971 + ... + 10944029.

It is an arithmetic number, because the mean of its divisors is an integer number (5186610).

Almost surely, 2^645696000 is an apocalyptic number.

645696000 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 645696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244786400).

645696000 is an abundant number, since it is smaller than the sum of its proper divisors (1843876800).

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

645696000 is a wasteful number, since it uses less digits than its factorization.

645696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

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

The square root of 645696000 is about 25410.5489905275. The cubic root of 645696000 is about 864.3229245577.

The spelling of 645696000 in words is "six hundred forty-five million, six hundred ninety-six thousand".