6419911680 has 528 divisors, whose sum is σ = 27396130944. Its totient is φ = 1353646080.

The previous prime is 6419911669. The next prime is 6419911697. The reversal of 6419911680 is 861199146.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192515 + ... + 4194045.

Almost surely, 2^6419911680 is an apocalyptic number.

6419911680 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 6419911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698065472).

6419911680 is an abundant number, since it is smaller than the sum of its proper divisors (20976219264).

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

6419911680 is a wasteful number, since it uses less digits than its factorization.

6419911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 6419911680 is about 80124.3513546288. The cubic root of 6419911680 is about 1858.5589948882.

The spelling of 6419911680 in words is "six billion, four hundred nineteen million, nine hundred eleven thousand, six hundred eighty".