643877433360 has 480 divisors, whose sum is σ = 2530275052032. Its totient is φ = 143693291520.

The previous prime is 643877433359. The next prime is 643877433401. The reversal of 643877433360 is 63334778346.

It is a happy number.

It is a super-2 number, since 2×643877433360² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 643877433297 and 643877433306.

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 95 ways as a sum of consecutive naturals, for example, 42111637 + ... + 42126923.

Almost surely, 2^643877433360 is an apocalyptic number.

643877433360 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 643877433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265137526016).

643877433360 is an abundant number, since it is smaller than the sum of its proper divisors (1886397618672).

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

643877433360 is a wasteful number, since it uses less digits than its factorization.

643877433360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15511 (or 15502 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 643877433360 in words is "six hundred forty-three billion, eight hundred seventy-seven million, four hundred thirty-three thousand, three hundred sixty".