6426145200384 has 2592 divisors, whose sum is σ = 25977742156800. Its totient is φ = 1551198781440.

The previous prime is 6426145200373. The next prime is 6426145200439. The reversal of 6426145200384 is 4830025416246.

6426145200384 is a `hidden beast` number, since 6 + 4 + 2 + 61 + 4 + 5 + 200 + 384 = 666.

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, 72203878612 + ... + 72203878700.

Almost surely, 2^{6426145200384} is an apocalyptic number.

6426145200384 is a gapful number since it is divisible by the number (64) 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 6426145200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988871078400).

6426145200384 is an abundant number, since it is smaller than the sum of its proper divisors (19551596956416).

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

6426145200384 is a wasteful number, since it uses less digits than its factorization.

6426145200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 6426145200384 in words is "six trillion, four hundred twenty-six billion, one hundred forty-five million, two hundred thousand, three hundred eighty-four".