6390728736000 has 576 divisors, whose sum is σ = 25536057630720. Its totient is φ = 1383854284800.

The previous prime is 6390728735999. The next prime is 6390728736023. The reversal of 6390728736000 is 6378270936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12517737 + ... + 13018263.

Almost surely, 2^{6390728736000} is an apocalyptic number.

6390728736000 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 6390728736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768028815360).

6390728736000 is an abundant number, since it is smaller than the sum of its proper divisors (19145328894720).

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

6390728736000 is a wasteful number, since it uses less digits than its factorization.

6390728736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500587 (or 500563 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 6390728736000 in words is "six trillion, three hundred ninety billion, seven hundred twenty-eight million, seven hundred thirty-six thousand".