6459478233600 has 2880 divisors, whose sum is σ = 27326672980992. Its totient is φ = 1337720832000.

The previous prime is 6459478233589. The next prime is 6459478233613. The reversal of 6459478233600 is 63328749546.

It is a super-3 number, since 3×6459478233600³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88486003164 + ... + 88486003236.

Almost surely, 2^{6459478233600} is an apocalyptic number.

6459478233600 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 6459478233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663336490496).

6459478233600 is an abundant number, since it is smaller than the sum of its proper divisors (20867194747392).

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

6459478233600 is a wasteful number, since it uses less digits than its factorization.

6459478233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 6459478233600 in words is "six trillion, four hundred fifty-nine billion, four hundred seventy-eight million, two hundred thirty-three thousand, six hundred".