6417132960000 has 720 divisors, whose sum is σ = 25674641484800. Its totient is φ = 1389560832000.

The previous prime is 6417132959999. The next prime is 6417132960011. The reversal of 6417132960000 is 692317146.

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, 63789741 + ... + 63890259.

Almost surely, 2^{6417132960000} is an apocalyptic number.

6417132960000 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 6417132960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837320742400).

6417132960000 is an abundant number, since it is smaller than the sum of its proper divisors (19257508524800).

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

6417132960000 is a wasteful number, since it uses less digits than its factorization.

6417132960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100584 (or 100555 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 6417132960000 in words is "six trillion, four hundred seventeen billion, one hundred thirty-two million, nine hundred sixty thousand".