6419975688 has 288 divisors, whose sum is σ = 21127392000. Its totient is φ = 1753839360.

The previous prime is 6419975687. The next prime is 6419975713. The reversal of 6419975688 is 8865799146.

6419975688 is a `hidden beast` number, since 6 + 419 + 97 + 56 + 88 = 666.

It is a super-2 number, since 2×6419975688² = 82432175669022146688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6419975687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13402633 + ... + 13403111.

It is an arithmetic number, because the mean of its divisors is an integer number (73359000).

Almost surely, 2^6419975688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6419975688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10563696000).

6419975688 is an abundant number, since it is smaller than the sum of its proper divisors (14707416312).

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

6419975688 is a wasteful number, since it uses less digits than its factorization.

6419975688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 6419975688 is about 80124.7507827637. The cubic root of 6419975688 is about 1858.5651716216.

The spelling of 6419975688 in words is "six billion, four hundred nineteen million, nine hundred seventy-five thousand, six hundred eighty-eight".