6428875629792 has 576 divisors, whose sum is σ = 22018860122112. Its totient is φ = 1605955507200.

The previous prime is 6428875629779. The next prime is 6428875629793. The reversal of 6428875629792 is 2979265788246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428875629793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410861713 + ... + 410877359.

It is an arithmetic number, because the mean of its divisors is an integer number (38227187712).

Almost surely, 2^{6428875629792} is an apocalyptic number.

6428875629792 is a gapful number since it is divisible by the number (62) 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 6428875629792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11009430061056).

6428875629792 is an abundant number, since it is smaller than the sum of its proper divisors (15589984492320).

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

6428875629792 is a wasteful number, since it uses less digits than its factorization.

6428875629792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15883 (or 15864 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 75.

The spelling of 6428875629792 in words is "six trillion, four hundred twenty-eight billion, eight hundred seventy-five million, six hundred twenty-nine thousand, seven hundred ninety-two".