645148800 has 480 divisors, whose sum is σ = 2525173200. Its totient is φ = 161740800.

The previous prime is 645148771. The next prime is 645148831. The reversal of 645148800 is 8841546.

645148800 is a `hidden beast` number, since 64 + 514 + 8 + 80 + 0 = 666.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4924735 + ... + 4924865.

Almost surely, 2^645148800 is an apocalyptic number.

645148800 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 645148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262586600).

645148800 is an abundant number, since it is smaller than the sum of its proper divisors (1880024400).

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

645148800 is a wasteful number, since it uses less digits than its factorization.

645148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 645148800 is about 25399.7795266022. The cubic root of 645148800 is about 864.0786965355.

The spelling of 645148800 in words is "six hundred forty-five million, one hundred forty-eight thousand, eight hundred".