646429960000 has 560 divisors, whose sum is σ = 1829071759680. Its totient is φ = 224501760000.

The previous prime is 646429959997. The next prime is 646429960013. The reversal of 646429960000 is 69924646.

It is a super-3 number, since 3×646429960000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 960519664 + ... + 960520336.

Almost surely, 2^646429960000 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 646429960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914535879840).

646429960000 is an abundant number, since it is smaller than the sum of its proper divisors (1182641799680).

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

646429960000 is a wasteful number, since it uses less digits than its factorization.

646429960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 646429960000 in words is "six hundred forty-six billion, four hundred twenty-nine million, nine hundred sixty thousand".