6429378228000 has 768 divisors, whose sum is σ = 26073864520704. Its totient is φ = 1348647321600.

The previous prime is 6429378227999. The next prime is 6429378228011. The reversal of 6429378228000 is 8228739246.

It is a happy 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, 188898984 + ... + 188933016.

It is an arithmetic number, because the mean of its divisors is an integer number (33950344428).

Almost surely, 2^{6429378228000} is an apocalyptic number.

6429378228000 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 6429378228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036932260352).

6429378228000 is an abundant number, since it is smaller than the sum of its proper divisors (19644486292704).

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

6429378228000 is a wasteful number, since it uses less digits than its factorization.

6429378228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34254 (or 34236 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 6429378228000 in words is "six trillion, four hundred twenty-nine billion, three hundred seventy-eight million, two hundred twenty-eight thousand".