643128624672 has 48 divisors (see below), whose sum is σ = 1695783156480. Its totient is φ = 213414872832.

The previous prime is 643128624667. The next prime is 643128624769. The reversal of 643128624672 is 276426821346.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×643128624672² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14999347 + ... + 15042162.

It is an arithmetic number, because the mean of its divisors is an integer number (35328815760).

Almost surely, 2^643128624672 is an apocalyptic number.

It is an amenable number.

643128624672 is an abundant number, since it is smaller than the sum of its proper divisors (1052654531808).

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

643128624672 is a wasteful number, since it uses less digits than its factorization.

643128624672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30041745 (or 30041737 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 643128624672 in words is "six hundred forty-three billion, one hundred twenty-eight million, six hundred twenty-four thousand, six hundred seventy-two".