6766873920 has 448 divisors, whose sum is σ = 25017984000. Its totient is φ = 1719631872.

The previous prime is 6766873831. The next prime is 6766873943. The reversal of 6766873920 is 293786676.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28313161 + ... + 28313399.

Almost surely, 2^6766873920 is an apocalyptic number.

6766873920 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 6766873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508992000).

6766873920 is an abundant number, since it is smaller than the sum of its proper divisors (18251110080).

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

6766873920 is a wasteful number, since it uses less digits than its factorization.

6766873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 6766873920 is about 82261.0109347071. The cubic root of 6766873920 is about 1891.4550649306.

The spelling of 6766873920 in words is "six billion, seven hundred sixty-six million, eight hundred seventy-three thousand, nine hundred twenty".