6405298368000 has 1280 divisors, whose sum is σ = 25665794998272. Its totient is φ = 1386270720000.

The previous prime is 6405298367891. The next prime is 6405298368011. The reversal of 6405298368000 is 8638925046.

It is a tau number, because it is divible by the number of its divisors (1280).

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, 1958206365 + ... + 1958209635.

Almost surely, 2^{6405298368000} is an apocalyptic number.

6405298368000 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 6405298368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832897499136).

6405298368000 is an abundant number, since it is smaller than the sum of its proper divisors (19260496630272).

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

6405298368000 is a wasteful number, since it uses less digits than its factorization.

6405298368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 6405298368000 in words is "six trillion, four hundred five billion, two hundred ninety-eight million, three hundred sixty-eight thousand".