6343771434000 has 1280 divisors, whose sum is σ = 28203618852864. Its totient is φ = 1183859712000.

The previous prime is 6343771433981. The next prime is 6343771434023. The reversal of 6343771434000 is 4341773436.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 222207727 + ... + 222236273.

Almost surely, 2^{6343771434000} is an apocalyptic number.

6343771434000 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 6343771434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101809426432).

6343771434000 is an abundant number, since it is smaller than the sum of its proper divisors (21859847418864).

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

6343771434000 is a wasteful number, since it uses less digits than its factorization.

6343771434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28641 (or 28625 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 6343771434000 in words is "six trillion, three hundred forty-three billion, seven hundred seventy-one million, four hundred thirty-four thousand".