643625133120 has 672 divisors, whose sum is σ = 2366332600320. Its totient is φ = 160220712960.

The previous prime is 643625133089. The next prime is 643625133127. The reversal of 643625133120 is 21331526346.

643625133120 is a `hidden beast` number, since 6 + 4 + 3 + 625 + 1 + 3 + 3 + 1 + 20 = 666.

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 (643625133127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503224641 + ... + 503225919.

Almost surely, 2^643625133120 is an apocalyptic number.

643625133120 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 643625133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183166300160).

643625133120 is an abundant number, since it is smaller than the sum of its proper divisors (1722707467200).

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

643625133120 is a wasteful number, since it uses less digits than its factorization.

643625133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 643625133120 its reverse (21331526346), we get a palindrome (664956659466).

The spelling of 643625133120 in words is "six hundred forty-three billion, six hundred twenty-five million, one hundred thirty-three thousand, one hundred twenty".