643048560 has 360 divisors, whose sum is σ = 2742186096. Its totient is φ = 133539840.

The previous prime is 643048543. The next prime is 643048561. The reversal of 643048560 is 65840346.

643048560 is a `hidden beast` number, since 64 + 30 + 4 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×643048560² = 827022901036147200, 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 not an unprimeable number, because it can be changed into a prime (643048561) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 387252 + ... + 388908.

Almost surely, 2^643048560 is an apocalyptic number.

643048560 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 643048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371093048).

643048560 is an abundant number, since it is smaller than the sum of its proper divisors (2099137536).

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

643048560 is a wasteful number, since it uses less digits than its factorization.

643048560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 643048560 is about 25358.4021578648. The cubic root of 643048560 is about 863.1400265199.

The spelling of 643048560 in words is "six hundred forty-three million, forty-eight thousand, five hundred sixty".