6419986560 has 256 divisors, whose sum is σ = 24487344000. Its totient is φ = 1580249088.

The previous prime is 6419986553. The next prime is 6419986579. The reversal of 6419986560 is 656899146.

It is a happy number.

6419986560 is a `hidden beast` number, since 64 + 19 + 9 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6419986497 and 6419986506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210351 + ... + 238929.

Almost surely, 2^6419986560 is an apocalyptic number.

6419986560 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 6419986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243672000).

6419986560 is an abundant number, since it is smaller than the sum of its proper divisors (18067357440).

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

6419986560 is a wasteful number, since it uses less digits than its factorization.

6419986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28620 (or 28602 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6419986560 is about 80124.8186269398. The cubic root of 6419986560 is about 1858.5662207590.

The spelling of 6419986560 in words is "six billion, four hundred nineteen million, nine hundred eighty-six thousand, five hundred sixty".