6786430560 has 768 divisors, whose sum is σ = 29818091520. Its totient is φ = 1403412480.

The previous prime is 6786430523. The next prime is 6786430571. The reversal of 6786430560 is 650346876.

6786430560 is a `hidden beast` number, since 6 + 7 + 86 + 4 + 3 + 0 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23980179 + ... + 23980461.

It is an arithmetic number, because the mean of its divisors is an integer number (38825640).

Almost surely, 2^6786430560 is an apocalyptic number.

6786430560 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 6786430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909045760).

6786430560 is an abundant number, since it is smaller than the sum of its proper divisors (23031660960).

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

6786430560 is a wasteful number, since it uses less digits than its factorization.

6786430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6786430560 is about 82379.7946100863. The cubic root of 6786430560 is about 1893.2754489786.

The spelling of 6786430560 in words is "six billion, seven hundred eighty-six million, four hundred thirty thousand, five hundred sixty".