6786648960 has 768 divisors, whose sum is σ = 28130457600. Its totient is φ = 1377976320.

The previous prime is 6786648949. The next prime is 6786648997. The reversal of 6786648960 is 698466876.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6786648894 and 6786648903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37914151 + ... + 37914329.

It is an arithmetic number, because the mean of its divisors is an integer number (36628200).

Almost surely, 2^6786648960 is an apocalyptic number.

6786648960 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 6786648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

6786648960 is an abundant number, since it is smaller than the sum of its proper divisors (21343808640).

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

6786648960 is a wasteful number, since it uses less digits than its factorization.

6786648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The square root of 6786648960 is about 82381.1201671839. The cubic root of 6786648960 is about 1893.2957584731.

The spelling of 6786648960 in words is "six billion, seven hundred eighty-six million, six hundred forty-eight thousand, nine hundred sixty".