643259074560 has 192 divisors, whose sum is σ = 2061455235840. Its totient is φ = 171241635840.

The previous prime is 643259074511. The next prime is 643259074673. The reversal of 643259074560 is 65470952346.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18199305 + ... + 18234615.

It is an arithmetic number, because the mean of its divisors is an integer number (10736746020).

Almost surely, 2^643259074560 is an apocalyptic number.

643259074560 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 643259074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030727617920).

643259074560 is an abundant number, since it is smaller than the sum of its proper divisors (1418196161280).

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

643259074560 is a wasteful number, since it uses less digits than its factorization.

643259074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35934 (or 35914 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 643259074560 in words is "six hundred forty-three billion, two hundred fifty-nine million, seventy-four thousand, five hundred sixty".