6450035630016 has 448 divisors, whose sum is σ = 19152504483840. Its totient is φ = 1899170856960.

The previous prime is 6450035630009. The next prime is 6450035630021. The reversal of 6450035630016 is 6100365300546.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5816082070 + ... + 5816083178.

It is an arithmetic number, because the mean of its divisors is an integer number (42751126080).

Almost surely, 2^{6450035630016} is an apocalyptic number.

6450035630016 is a gapful number since it is divisible by the number (66) 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 6450035630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576252241920).

6450035630016 is an abundant number, since it is smaller than the sum of its proper divisors (12702468853824).

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

6450035630016 is a wasteful number, since it uses less digits than its factorization.

6450035630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 6450035630016 in words is "six trillion, four hundred fifty billion, thirty-five million, six hundred thirty thousand, sixteen".