6296768640 has 192 divisors, whose sum is σ = 22250067840. Its totient is φ = 1640024064.

The previous prime is 6296768617. The next prime is 6296768641. The reversal of 6296768640 is 468676926.

6296768640 is a `hidden beast` number, since 629 + 6 + 7 + 6 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6296768641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234969 + ... + 260391.

It is an arithmetic number, because the mean of its divisors is an integer number (115885770).

Almost surely, 2^6296768640 is an apocalyptic number.

6296768640 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 6296768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11125033920).

6296768640 is an abundant number, since it is smaller than the sum of its proper divisors (15953299200).

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

6296768640 is a wasteful number, since it uses less digits than its factorization.

6296768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25491 (or 25476 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6296768640 is about 79352.1810664332. The cubic root of 6296768640 is about 1846.5989267915.

The spelling of 6296768640 in words is "six billion, two hundred ninety-six million, seven hundred sixty-eight thousand, six hundred forty".