6763863960 has 768 divisors, whose sum is σ = 28598400000. Its totient is φ = 1417409280.

The previous prime is 6763863937. The next prime is 6763863961. The reversal of 6763863960 is 693683676.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6763863897 and 6763863906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6763863961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218189145 + ... + 218189175.

It is an arithmetic number, because the mean of its divisors is an integer number (37237500).

Almost surely, 2^6763863960 is an apocalyptic number.

6763863960 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 6763863960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299200000).

6763863960 is an abundant number, since it is smaller than the sum of its proper divisors (21834536040).

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

6763863960 is a wasteful number, since it uses less digits than its factorization.

6763863960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 6763863960 is about 82242.7137198184. The cubic root of 6763863960 is about 1891.1745785253.

The spelling of 6763863960 in words is "six billion, seven hundred sixty-three million, eight hundred sixty-three thousand, nine hundred sixty".