643151164032 has 192 divisors, whose sum is σ = 2006305042560. Its totient is φ = 196581427200.

The previous prime is 643151164031. The next prime is 643151164079. The reversal of 643151164032 is 230461151346.

643151164032 is a `hidden beast` number, since 6 + 4 + 3 + 1 + 5 + 1 + 1 + 640 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (643151164031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119173 + ... + 2403579.

It is an arithmetic number, because the mean of its divisors is an integer number (10449505430).

Almost surely, 2^643151164032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643151164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003152521280).

643151164032 is an abundant number, since it is smaller than the sum of its proper divisors (1363153878528).

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

643151164032 is a wasteful number, since it uses less digits than its factorization.

643151164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284591 (or 284576 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 643151164032 in words is "six hundred forty-three billion, one hundred fifty-one million, one hundred sixty-four thousand, thirty-two".