646142433400 has 96 divisors (see below), whose sum is σ = 1518703734240. Its totient is φ = 255634882560.

The previous prime is 646142433359. The next prime is 646142433401. The reversal of 646142433400 is 4334241646.

It is a self number, because there is not a number n which added to its sum of digits gives 646142433400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646142433401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34464429 + ... + 34483171.

It is an arithmetic number, because the mean of its divisors is an integer number (15819830565).

Almost surely, 2^646142433400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646142433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759351867120).

646142433400 is an abundant number, since it is smaller than the sum of its proper divisors (872561300840).

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

646142433400 is a wasteful number, since it uses less digits than its factorization.

646142433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20633 (or 20624 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 646142433400 in words is "six hundred forty-six billion, one hundred forty-two million, four hundred thirty-three thousand, four hundred".