643255142400 has 864 divisors, whose sum is σ = 2499666886080. Its totient is φ = 157146808320.

The previous prime is 643255142399. The next prime is 643255142417. The reversal of 643255142400 is 4241552346.

643255142400 is a `hidden beast` number, since 64 + 3 + 2 + 55 + 142 + 400 = 666.

It is a super-3 number, since 3×643255142400³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1000396479 + ... + 1000397121.

It is an arithmetic number, because the mean of its divisors is an integer number (2893132970).

Almost surely, 2^643255142400 is an apocalyptic number.

643255142400 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 643255142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249833443040).

643255142400 is an abundant number, since it is smaller than the sum of its proper divisors (1856411743680).

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

643255142400 is a wasteful number, since it uses less digits than its factorization.

643255142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 643255142400 its reverse (4241552346), we get a palindrome (647496694746).

The spelling of 643255142400 in words is "six hundred forty-three billion, two hundred fifty-five million, one hundred forty-two thousand, four hundred".