6459243921600 has 672 divisors, whose sum is σ = 23885130182400. Its totient is φ = 1518531379200.

The previous prime is 6459243921569. The next prime is 6459243921629. The reversal of 6459243921600 is 61293429546.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137962195 + ... + 138009005.

Almost surely, 2^{6459243921600} is an apocalyptic number.

6459243921600 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 6459243921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942565091200).

6459243921600 is an abundant number, since it is smaller than the sum of its proper divisors (17425886260800).

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

6459243921600 is a wasteful number, since it uses less digits than its factorization.

6459243921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46961 (or 46946 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 6459243921600 in words is "six trillion, four hundred fifty-nine billion, two hundred forty-three million, nine hundred twenty-one thousand, six hundred".