6351440766 has 96 divisors (see below), whose sum is σ = 14485244928. Its totient is φ = 1853280000.

The previous prime is 6351440743. The next prime is 6351440803. The reversal of 6351440766 is 6670441536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5423361 + ... + 5424531.

It is an arithmetic number, because the mean of its divisors is an integer number (150887968).

Almost surely, 2^6351440766 is an apocalyptic number.

6351440766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6351440766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242622464).

6351440766 is an abundant number, since it is smaller than the sum of its proper divisors (8133804162).

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

6351440766 is a wasteful number, since it uses less digits than its factorization.

6351440766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 6351440766 is about 79695.9269097236. The cubic root of 6351440766 is about 1851.9279405634.

The spelling of 6351440766 in words is "six billion, three hundred fifty-one million, four hundred forty thousand, seven hundred sixty-six".