6419638680 has 256 divisors, whose sum is σ = 24951628800. Its totient is φ = 1283143680.

The previous prime is 6419638669. The next prime is 6419638681. The reversal of 6419638680 is 868369146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6419638681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192010 + ... + 222950.

It is an arithmetic number, because the mean of its divisors is an integer number (97467300).

Almost surely, 2^6419638680 is an apocalyptic number.

6419638680 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 6419638680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475814400).

6419638680 is an abundant number, since it is smaller than the sum of its proper divisors (18531990120).

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

6419638680 is a wasteful number, since it uses less digits than its factorization.

6419638680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30994 (or 30990 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 6419638680 is about 80122.6477345825. The cubic root of 6419638680 is about 1858.5326500919.

The spelling of 6419638680 in words is "six billion, four hundred nineteen million, six hundred thirty-eight thousand, six hundred eighty".