6763875840 has 480 divisors, whose sum is σ = 24773164416. Its totient is φ = 1768366080.

The previous prime is 6763875827. The next prime is 6763875907. The reversal of 6763875840 is 485783676.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51632575 + ... + 51632705.

Almost surely, 2^6763875840 is an apocalyptic number.

6763875840 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 6763875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386582208).

6763875840 is an abundant number, since it is smaller than the sum of its proper divisors (18009288576).

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

6763875840 is an equidigital number, since it uses as much as digits as its factorization.

6763875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 6763875840 is about 82242.7859450299. The cubic root of 6763875840 is about 1891.1756857396.

The spelling of 6763875840 in words is "six billion, seven hundred sixty-three million, eight hundred seventy-five thousand, eight hundred forty".