6450988544000 has 1664 divisors, whose sum is σ = 22215740811264. Its totient is φ = 1804861440000.

The previous prime is 6450988543999. The next prime is 6450988544053. The reversal of 6450988544000 is 4458890546.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21012991847 + ... + 21012992153.

It is an arithmetic number, because the mean of its divisors is an integer number (13350805776).

Almost surely, 2^{6450988544000} 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 6450988544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107870405632).

6450988544000 is an abundant number, since it is smaller than the sum of its proper divisors (15764752267264).

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

6450988544000 is a wasteful number, since it uses less digits than its factorization.

6450988544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 53.

The spelling of 6450988544000 in words is "six trillion, four hundred fifty billion, nine hundred eighty-eight million, five hundred forty-four thousand".