6786412920 has 384 divisors, whose sum is σ = 26886038400. Its totient is φ = 1449197568.

The previous prime is 6786412877. The next prime is 6786412933. The reversal of 6786412920 is 292146876.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6725376 + ... + 6726384.

It is an arithmetic number, because the mean of its divisors is an integer number (70015725).

Almost surely, 2^6786412920 is an apocalyptic number.

6786412920 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 6786412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443019200).

6786412920 is an abundant number, since it is smaller than the sum of its proper divisors (20099625480).

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

6786412920 is a wasteful number, since it uses less digits than its factorization.

6786412920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6786412920 is about 82379.6875449282. The cubic root of 6786412920 is about 1893.2738085774.

The spelling of 6786412920 in words is "six billion, seven hundred eighty-six million, four hundred twelve thousand, nine hundred twenty".